5th Grade Word Problems

Allan has 467 stickers. He buys 219 more stickers. How many stickers does Allan have now?

Answer:

686 stickers

Almira has 384 Skittles and some Starbursts. She has 762 total pieces of candy. How many Starbursts does she have?

Answer:

378 Starburst

Santiago owns a small bread company. Saturday his company baked 3,860 loaves of bread. On Sunday his company baked 4,820 loaves of bread. How many more loaves did they bake on Sunday than on Saturday?

Answer:

960 loaves

An international shipping company shipped 487,265 pounds of beans last month. This month they plan to ship 422,190 pounds of beans. How many pounds of beans will they ship over the two months?

Answer:

909,455 pounds of beans

Anita owns a restaurant. Last year the restaurant cooked 103,400 cups of rice. The restaurant is on track to cook 221,450 cups of rice over last year and this year. How many cups of rice will the restaurant cook this year?

Answer:

118,050 cups of rice

Runa took 482,991 steps last month. Between last month and this month, she has taken a total of 921,589 steps. How many steps did she take this month?

Answer:

438,598 steps

Last week a soda company produced 481,576 gallons of soda. They shipped 140,683 gallons out to stores this week. How many gallons do they have remaining?

Answer:

340,893 gallons of soda

DeepWell Water sold 571,184 bottles of water last month. SuperFresh Water sold 126,941 fewer bottles of water last month than DeepWell Water. How many bottles of water did SuperFresh Water sell last month?

Answer:

444,243 bottles

QuickShip shipping company has 679,405 packages in their warehouses. They ship a bunch of the packages out this week and now have 560,881 packages in their warehouses. How many packages did they ship out this week?

Answer:

118,524 packages

Last month KindCoffee coffee company sold 142,119 more cups of coffee than SweetRoast coffee company. SweetRoast sold 513,892 cups of coffee. How many cups of coffee did the two companies sell together?

Answer:

656,011 cups of coffee

An electricity company’s customers used 769,227 kWh (kilowatt hours) this month. This is 192,116 fewer kWh (kilowatt hours) than they used last month. How many kWh did they use last month?

Answer:

961,343 kWh

A shoe company made 286,408 pairs of kids shoes and 204,670 pairs of adult shoes in their second year. Over the last two years they have made 921,098 pairs of shoes. How many did they make in their first year?

Answer:

430,020 pairs of shoes

Last year the Ramones family listened to 89,067 more minutes of music than the Jacksons family. The Ramones listened to 405,117 minutes of music. How many minutes of music did the two families listen to together?

Answer:

721,167 minutes

Yale has 7 bags of chips. He opens all the bags and finds each bag has 8 chips in it. How many chips does Yale have?

Answer:

56 chips

Nava is measuring the floor space in her moving truck. The truck has floor dimensions of 5 feet by 9 feet. What is the area of the floor space?

Answer:

45 square feet

Katalin harvested 48 ears of corn yesterday. Each of her corn plants gave her 6 ears of corn. How many corn plants does she have?

Answer:

8 corn plants

Cara has 49 toy cars. She puts her cars into 7 groups so she can race them. How many cars are in each group?

Answer:

7 cars

Justa is making a red carpet for an event. She knows the carpet needs to measure 4 feet by 65 feet. How many square feet of material will Justa need to make the carpet?

Answer:

260 square feet

Gerlof has 126 pages left to read for his summer reading book. His twin sister has 3 times as many pages left as him. How many pages does his sister have left to read?

Answer:

378 pages

The YMCA’s basketball court measures 98 feet by 52 feet. How much floor space does the basketball court take up?

Answer:

5,096 square feet

A grocer is bagging grocery items for a customer. The customer bought 5 cartons of milk that each weigh 1,892 grams. They also bought a bag of flour that weighs 2,264 grams. What is the total weight, in grams, of the grocery items?

Answer:

11,724 grams

Harlow is putting a new floor and baseboard in his dining room. He uses 16 feet of baseboard for the width of the room. He uses a piece of baseboard that is 8 feet long and another 6 foot piece to span the length of the room. How much flooring, in square feet, did he use to cover the floor of the dining room?

Answer:

224 square feet

A paint company produced 2,853 gallons of paint. A second paint company produced 4 times as many gallons. How many more gallons of paint did the second company produce?

Answer:

8,559 gallons more

Bishal has 80 peaches. Bishal puts the peaches into buckets that can hold 9 peaches. How many buckets does he need to hold all of his peaches?

Answer:

9 buckets

A purple table costs $8. A brown table costs $64. How many times as much does the brown table cost as the purple table?

Answer:

8 times as much

Zach has read 4,376 pages of books this year. Jami has read 2,631 more pages of books this year than Zach. How many pages has Jami read?

Answer:

7,007 pages

Liese is building a patio for her backyard. She has enough tile to cover an area of 96 square feet and she wants it to be 8 feet wide. How long should her patio be?

Answer:

12 feet

A printing company has printed 400 books this week. They send an equal number of books to each of their 6 distributors. Any leftover books they hold onto and ship out the next week. How many books do they send to each distributor?

Answer:

66 books

Babs sells bananas at her fruit stand. She has 28 boxes each with 42 bananas. She has 3 times as many bananas at her fruit stand as her friend who also sells bananas. How many bananas does her friend have?

Answer:

392 bananas

Joey has 198¢. He wants to buy as many pencils as he can. They each cost 5¢. After he buys as many pencils as he can with his money, how much change will he have?

Answer:

3¢

A golf course finds 2,116 golf balls during the weekend. The course finds 4 times as many golf balls during the weekend as they do during the week. How many more golf balls do they find on the weekend than during the week?

Answer:

1,587 more golf balls

A juice company has 730 gallons of juice. They store the juice in barrels that hold 24 gallons. How many barrels of juice do they use to store all of the juice?

Answer:

31 barrels

Deshawn bakes 60 cookies and Malin bakes 40 cookies. They package them into packs of 12 to sell them. They split each of the remaining cookies into 6 pieces to put into ice cream sundaes. How many cookie pieces do they have?

Answer:

24 pieces

14 boxes of paper each have 225 sheets. They will be used to print 21 copies of a book. How long is this book?

Answer:

150 pages

Tamara has 10 oranges and 14 apples. She cuts all her fruits into 8 slices and then puts 16 slices in each of her bags. How many bags does she use?

Answer:

12 bags

Malin has 240 cans of lemon-lime soda and 320 cans of root beer to sell during the field hockey game. She sells 92 during the game and puts the rest into boxes that hold 12 cans each to carry them home. How many boxes does she use?

Answer:

39 boxes

Bjoern has 17 bags of jumbo marshmallows for the camp sleepover. Each bag has 11 jumbo marshmallows. His sister brought 95 jumbo marshmallows for her groups at camp. How many jumbo marshmallows did the two siblings bring?

Answer:

282 jumbo marshmallows

Liesa had 27 rows of pineapple plants. There are 32 plants in each row. Each plant produces just one pineapple. Liesa put the pineapples into boxes of 18 to sell to local grocery stores. She has already sold 11 of her boxes. How many boxes of pineapples does she still have to sell?

Answer:

37 boxes

Julie and Shun are twins. They buy bags of M&Ms for goodie bags for their birthday party. Julie’s bag contains 351 M&Ms. Shun’s bag contains 26 fewer M&Ms than Julie’s bag. If they want to split all of their M&Ms into 13 goodie bags for their guests, how many M&Ms will each guest get?

Answer:

52 M&Ms

Abraham and Corinna are making chocolates for a big banquet. Abraham makes 63 chocolates every day for a week in preparation for the banquet. Corinna makes a total of 567 chocolates. They plan to pack the chocolates onto trays that each hold 24 chocolates. How many trays will they need?

Answer:

42 trays

Rumena’s cake shop made $1,608 this week. She sells cakes for $24 each. She sold 18 more cakes this week than she did last week. How many cakes did she sell last week?

Answer:

49 cakes

Haman brings 18 jugs of water for all of the campers on a canoeing trip. Each jug is 128 ounces. On the first day Haman and his camping group drink 512 ounces of water. How many ounces of water do they have left?

Answer:

1,792 ounces

Annika’s restaurant has 5 batches of tomato sauce in their refrigerator. She buys another 36 big cans of tomatoes. Each can has 28 ounces of tomatoes in it. She uses 48 ounces of tomatoes every time she makes a batch of sauce. How many batches will Annika have after she uses all the tomatoes?

Answer:

26 batches

Joanne’s storage box has a base of 1,300 square inches and a height of 24 inches. How much space is inside Joanne’s storage box?

Answer:

31,200 cubic inches

The volume of a treasure chest in the shape of a rectangular prism is 1,512 cubic inches. The treasure chest is 9 inches high and 14 inches wide. How long is the treasure chest?

Answer:

12 inches

Tora just got a new tank for her pet lizard. The tank measures 36 inches wide by 28 inches long by 18 inches high. What is the volume of the new tank?

Answer:

18,144 cubic inches

A box of pasta has a volume of 1,296 cubic centimeters and a base of 72 cubic centimeters. How tall is the box of pasta?

Answer:

18 centimeters

Violet buys two boxes to pack up the contents of her office. One box measures 12 inches by 12 inches by 6 inches. The other box measures 24 inches by 18 inches by 12 inches. What is the total volume of both of the boxes?

Answer:

6,048 cubic inches

A container of tofu in the shape of a rectangular prism has a length of 14 centimeters, a width of 11 centimeters, and a height of 5 centimeters. A piece of tofu that measures 12 centimeters by 8 centimeters by 4 centimeters is put in the container and the rest of the space is filled with water. How much water, in cubic centimeters, is in the container?

Answer:

386 cubic centimeters

A box has dimensions of 18 inches by 14 inches by 12 inches and is a rectangular prism. Inside the box there are boxes of tea that measure 3 inches by 2 inches by 2 inches. How many boxes of tea can fit inside the larger box?

Answer:

252 boxes of tea

Saira has $$\frac{4}{8}$$ of an orange left in her lunch box. Her brother does not want his orange and gives Saira $$\frac{3}{8}$$ of his orange. What fraction of an orange does Saira have now?

Answer:

$$\frac{7}{8}$$ of an orange

Bohdan has a glass of water that is $$\frac{9}{10}$$ full. He takes a big gulp and now his glass is $$\frac{3}{10}$$ full. What fraction of the glass of water did he drink in his big gulp?

Answer:

$$\frac{6}{10}$$ of the glass

Mette decorates some sugar cookies. She decorates $$\frac{3}{12}$$ of them with white sprinkles, $$\frac{5}{12}$$ of them with rainbow sprinkles, and the rest with chocolate sprinkles. What fraction of her cookies did she decorate with rainbow sprinkles?

Answer:

$$\frac{4}{12}$$ of the cookies

Farruh buys $$\frac{1}{2}$$ more pounds of vegetables than Theresia. Theresia buys $$\frac{13}{16}$$ pounds of vegetables. How many pounds of vegetables does Farruh buy?

Answer:

$$\frac{21}{16}$$ pounds

Jordan is making a beaded necklace. At the beginning of the day, it is $$\frac{11}{12}$$ feet long. Then he beads some more and it’s $$1\frac{1}{12}$$ feet long by the end of the day. How much, in feet, did Jordan bead throughout the day?

Answer:

$$\frac{1}{6}$$ foot

Caroline has $$\frac{7}{8}$$ of a block of Vermont cheddar cheese. Throughout the day she snacks on it and eats $$\frac{1}{4}$$ of a block. How much cheese does Caroline have left?

Answer:

$$\frac{5}{8}$$ of a block

Cecil runs $$\frac{4}{5}$$ of a mile. This is $$\frac{3}{5}$$ miles less than Melcha runs. How far, in miles, does Melcha run?

Answer:

$$\frac{7}{5}$$ miles

Quentin has $$1\frac{2}{5}$$ bottles of SuperHot Sauce. He also has $$1\frac{1}{5}$$ bottles of NotSoHot Sauce. His aunt brought him some of her homemade sauce and now Quentin has $$3\frac{2}{5}$$ bottles of sauce. What amount of sauce did his aunt bring him?

Answer:

$$\frac{4}{5}$$ bottles

Korey buys some clay that he’s going to use to make sculptures. He uses $$\frac{1}{5}$$ kilogram of clay to make a candle holder. He has $$\frac{1}{2}$$ kilogram left. How much clay did Korey buy?

Answer:

$$\frac{7}{10}$$ of a kilogram

Rohan’s cookie recipe calls for $$1\frac{1}{3}$$ cups of sugar for his cookies. His recipe calls for $$\frac{1}{4}$$ more cups of sugar than Anahit’s recipe. How much sugar is in Anahit’s recipe?

Answer:

$$1\frac{1}{12}$$ cups

Kane had $$\frac{7}{12}$$ of a serving of fruit with breakfast today. He had another $$\frac{5}{8}$$ of a serving of fruit with lunch. His sister had $$1\frac{1}{2}$$ of a serving of fruit through breakfast and lunch. How many more servings of fruit did Kane’s sister have than him?

Answer:

$$\frac{7}{24}$$ of a serving

Phile ran $$3\frac{1}{2}$$ miles today. Over the past two days (yesterday and today) she has run $$7\frac{1}{4}$$ miles. How many miles did Phile run yesterday?

Answer:

$$3\frac{3}{4}$$ miles

Xena biked $$22\frac{3}{4}$$ kilometers yesterday and $$31\frac{3}{10}$$ kilometers today. Xena biked $$9\frac{1}{2}$$ fewer kilometers over the two days than Elihu did. How many kilometers did Elihu bike?

Answer:

$$63\frac{11}{20}$$ miles

Abel has $$2\frac{3}{4}$$ pounds of raspberries. Abel has $$1\frac{5}{8}$$ more pounds of strawberries than raspberries. Abel uses $$3\frac{1}{2}$$ pounds of berries to make mixed berry pies. How many pounds of berries does Abel have left?

Answer:

$$\frac{7}{8}$$ lb

Samir had $$6\frac{1}{3}$$ cups of rice. He used $$1\frac{3}{4}$$ cups for a dinner he made. He made another dinner later that week and used more rice. At the end of the week he had $$2\frac{2}{8}$$ cups of rice left. How many cups of rice did Samir use during the second dinner?

Answer:

$$2\frac{1}{3}$$ cups

Vlad used $$3\frac{3}{8}$$ more gallons of water to make water balloons than Myrto. Vlad used $$9\frac{1}{4}$$ gallons of water. Their friend Amna also made water balloons. The three friends used a total of 20 gallons of water. How many gallons of water did Amna use?

Answer:

$$4\frac{7}{8}$$ gallons

Danijela collected 2.25 kilograms of candy during a holiday this year. She ate some candy and has 0.8 kilograms left. How much candy did she eat?

Answer:

1.45 kilograms

Aurea’s dad is 1.8 meters tall. He is 0.95 meters taller than Aurea. How tall is Aurea?

Answer:

0.85 meters

Matheus walked 3.84 kilometers yesterday and 4.02 kilometers today. He plans to walk again tomorrow and wants to walk 12 kilometers over the three day period. How far does he need to walk tomorrow?

Answer:

5.14 kilometers

Meryl has 11.53 kilograms of flour. Meryl has 3.09 fewer kilograms of flour than Eeva. Then Eeva uses 3.8 kilograms to make a bunch of cookies. How much flour does Eeva have left?

Answer:

10.82 kilograms

Otto is going to make cheese. He has some milk but not enough, so he milks his cow Helena, who produces 10.4 liters of milk, and Meredith, who produces 8.63 liters of milk. He now has 24.7 liters of milk. How many liters of milk did Otto have in the fridge?

Answer:

5.67 liters

At a party there are 4 different pies. There are 32 people at the party and they each plan to have the same amount of pie. What fraction of a pie will each person have?

Answer:

$$\frac{1}{8}$$ of a pie

A soccer team’s manager uses 24 quarts of Gatorade to equally fill 16 glasses for each of the players. How much Gatorade, in cups, does each player get?

Answer:

$$1\frac{1}{2}$$ quarts

Wright has 350 milliliters of juice. Each serving of juice is 100 milliliters. How many servings of juice does Wright have?

Answer:

$$3\frac{1}{2}$$ servings

Nalini is 2 meters tall. She is 3 times as tall as her daughter. How tall is her daughter?

Answer:

$$\frac{2}{3}$$ of a meter

I have 5 cartons of milk that are each one half gallon. How much milk do I have?

Answer:

$$2\frac{1}{2}$$ gallons

Nick has 45 peaches to make pies with. Only one third of the peaches are ripe. How many of Nick’s peaches are ripe?

Answer:

15 peaches

A box of donuts has a lid that measures $$\frac{11}{12}$$ of a foot by 2 feet. What is the area of the top of the box?

Answer:

$$\frac{22}{12}$$ square feet

Yafa made $21 from doing chores this week. Her little brother has made $$\frac{1}{3}$$ as much. How much has her little brother made?

Answer:

$7

A group of friends have a party and order 6 pizzas for dinner. After eating, they have $$\frac{1}{4}$$ of what they ordered leftover. How many pizzas do they have left?

Answer:

$$1\frac{1}{2}$$ pizzas

$$\frac{4}{7}$$ of a fourth grade class said their favorite color is blue. $$\frac{1}{2}$$ of the students who said their favorite color was blue said they like dark blue the most. What fraction of the class said they like dark blue the most?

Answer:

$$\frac{2}{14}$$ of the class

An adult sized pair of pants costs $30. A kid sized pair of pants costs $15. What fraction of the cost of the adult sized pair is the kid sized pair?

Answer:

$$\frac{1}{2}$$ the cost

Leire is painting on a canvas that measures $$\frac{5}{8}$$ of a meter by $$\frac{4}{8}$$ of a meter. How big, in square meters, is the canvas Leire is using?

Answer:

$$\frac{20}{64}$$ square meters

Sushila painted a mural. $$\frac{2}{3}$$ of the mural is blue and $$\frac{1}{4}$$ of it is green. What fraction of the mural is blue or green?

Answer:

$$\frac{11}{12}$$ of the mural

The length of the shortest race in the track meet is 100 yards. The length of the longest race is 3220 yards. How many times longer is the longest race than the shortest?

Answer:

$$32\frac{1}{5}$$ times as long

Pooja has seven cans of beans that each contain $$15\frac{1}{4}$$ ounces of beans. How many total ounces of beans does Pooja have?

Answer:

$$106\frac{3}{4}$$ ounces

Nanook has a poster that measures $$1\frac{1}{3}$$ yards by $$\frac{5}{6}$$ yards. How much wall space does the poster take up?

Answer:

$$1\frac{1}{9}$$ square yards

Coen eats $$1\frac{3}{8}$$ pounds of lettuce in a week. His brother eats $$1\frac{1}{2}$$ times as much lettuce. How much lettuce does Coen’s brother eat?

Answer:

$$2\frac{1}{16}$$ pounds

Waman wants to run $$\frac{1}{3}$$ of his weekly goal in 2 days. What fraction of his weekly goal should he run each day?

Answer:

$$\frac{1}{6}$$ of his goal

Zoe makes a pizza every $$\frac{1}{2}$$ hour. How many pizzas will Zoe make during her 4 hour shift?

Answer:

2 pizzas

Gorden has sewn 3 feet of a scarf. If he is $$\frac{1}{4}$$ finished how long will the scarf be when it is finished?

Answer:

12 feet

Renata makes 5 gallons of fruit punch for a party. They drink a quarter of the punch during the party. How much punch do they drink during the party?

Answer:

$$1\frac{1}{4}$$ gallons

Kallisto has read 82 pages of her summer reading book. She has read a third as much as her older sister. How many pages has her older sister read?

Answer:

246 pages

Nedim has a farm with 10 acres of land. He plans to use one fifth of the land to raise chickens. Each chicken needs one fiftieth of an acre. How many chickens can Nedim have?

Answer:

100 chickens

A punch recipe calls for $$3$$ cups of orange juice, $$2\frac{1}{3}$$ cups of apple juice, $$1\frac{1}{6}$$ cups of pineapple juice, and $$\frac{1}{2}$$ cup of mango juice. Ben has a bunch of orange, apple, and pineapple juice, but only $$2$$ cups of mango juice. How many batches can he make? How many of each of the other ingredients will he need? Knowing one serving is two cups, how many servings are there in one batch of punch? How many servings will Ben have if he makes all the batches he can?

Answer:

$$4$$ batches
$$12$$ cups orange juice, $$9\frac{1}{2}$$ apple juice, $$4\frac{4}{6}$$ pineapple juice
$$7$$ servings
$$28$$ servings

Kyros is a philatelist (someone who collects stamps) has collected a bunch of partially full sheets stamps each month this year. Use the line plot below to determine how many more sheets of stamps he collected in the month he collected the most compared to the month he collected the least.

Answer:

$$\frac{7}{3}$$ more of a sheet

Sheba harvested different weights of ears of corn each day last week. Use the line plot below to determine how much corn Sheba harvested in total last week.

Answer:

$$\frac{40}{7}$$ tons of corn

Nike collected different weights of oranges from his tree each day this week. Nike uses the oranges to make juice. He makes 12 cups of orange juice. What weight of oranges does he use to make 1 cup of juice?

Answer:

$$\frac{7}{12}$$ of a kilogram

Kai has 12 bags of lemons that each weigh 1.25 pounds. How many pounds do all of Kai’s lemons weigh?

Answer:

15 pounds

Randolf is painting the top of his cooler. The top of the cooler measures 50 centimeters by 28.9 centimeters. How much area will Randolf be painting?

Answer:

1,445 square centimeters

A dress at the mall is on sale for $31. When the sale ends the dress will cost 1.2 times as much. How much will the dress cost when the sale ends?

Answer:

$37.20

Monty caught 42 pounds of shrimp today. Jeni caught 37.19 pounds of shrimp today. How many more pounds of shrimp did Monty catch than Jeni?

Answer:

4.81 pounds

Linos has an award he wants to hang on his wall. The award measures 0.75 feet by 0.5 feet. How much wall space will the award take up?

Answer:

0.375 square feet

Madhur has 1.45 pounds of chicken in his refrigerator. He has 2.3 times as much chicken in his freezer as he does in his refrigerator. How many pounds of chicken does he have in his freezer?

Answer:

3.335 pounds

Annet takes 14.59 seconds to run the 100 meter dash. Keir takes 2.7 more seconds to run the 100 meter dash than Annet. How many seconds does Keir take to run the 100 meter dash?

Answer:

17.29 seconds

Zuzen has 3.5 boxes of beads. Each full box of beads weighs 5.8 pounds. How many pounds of beads does Zuzen have?

Answer:

20.3 pounds

Avitus has 15 bags of grain. Each bag has the same amount. Avitus has 56.25 cups of grain in total. How many cups of grain are in each bag?

Answer:

3.75 cups

A rug in Suvi’s room takes up 43.5 square feet of floor space. The rug is 6 feet wide. How long is the rug in Suvi’s room?

Answer:

7.25 feet

Klara buys 12.4 pounds of ground beef. Ground beef costs $4.50 per pound. How much does all of the ground beef Klara buys cost?

Answer:

$55.80

Lina is building a sculpture with a rectangular base that has a length of 4.5 meters. The sculpture’s base will take up 30.6 square meters of floor space. How wide is the base of the sculpture?

Answer:

6.8 feet

Johnny has 2.6 kg of rice. He later goes to the store and buys another 3.1 kg of rice. Each serving of rice is 0.12 kg. How many servings can he make?

Answer:

47.5 servings

Thorsten sells a piece of artwork for $358. This is 4 times as much as he sold his first piece of artwork for. What did he sell his first piece of artwork for?

Answer:

$89.50

Joann’s restaurant has 6.95 pounds of ribs leftover at the end of the week. They purchase 5 racks of ribs that each weigh 12.5 pounds. The restaurant cuts the ribs into portions that each weigh 1.5 pounds. How many portions of ribs does the restaurant have?

Answer:

46.3 portions

Mert is 175 centimeters tall. At the beginning of the year Mert was 157 centimeters tall. How many meters did Mert grow this year?

Answer:

0.18 meters

Jamaar has drank 1.2 more liters of water today than his brother. Jamaar’s brother has drank 2,257 milliliters of water today. How many liters of water has Jamaar drank?

Answer:

3.457 liters

Hailie’s puppy weighed $$18\frac{1}{2}$$ pounds last month. This month he weighs $$23\frac{1}{4}$$ pounds. How many ounces did he gain?

Answer:

$$76$$ ounces

Jyotsna has a green pepper that weights 129 grams. She also has a red pepper that weighs 142 grams. She uses 0.093 kilograms of peppers to make lunch. How many kilograms of peppers does she have left?

Answer:

0.178 kilograms

Ana read for 4 hours this week. She read 3 times as much this week as she did last week. How long, in minutes, did Ana read for last week?

Answer:

80 minutes

Avitus has 12 feet of rope to use to make jump ropes. He makes 9 jump ropes that are all equal in length. How long, in inches, is each jump rope?

Answer:

16 inches

A conference consists of 4 50-minute sessions and a 25 minute lunch break. How long, in hours, is the conference?

Answer:

3.75 hours

A soup recipe calls for 2 cups of water, 2.25 cups of broth, 1.25 cups of vegetables, and one half cup of beef. How much soup, in quarts, will the recipe make? Assume the soup does not cook down.

Answer:

$$1 \frac{1}{2}$$ quarts

Odelia has a bunch of string she is going to use to make bracelets. She uses 11 centimeters to make each bracelet. She makes 6 bracelets and has 9 centimeters left over. How many meters of string did Odelia start with?

Answer:

0.75 meters

A restaurant’s recipe for salad dressing calls for 2 cups of oil, 1.5 cups of vinegar, and 0.5 cups of lemon juice for 12 servings. Calvin, the restaurant’s chef, wants to make the dressing but only enough for 3 servings. How much of each ingredient should he use? How much dressing, in ounces, will he have?

Answer:

0.5 cups oil; 0.375 cups vinegar; 0.125 cups lemon juice; 8 ounces dressing in total

The following graph shows some data for the age and weight of children who went to Dr. Shastri’s office today.

1. Kamiyah is 3 years old. Label the point on the coordinate grid above that represents Kamiyah with the letter K. 
2. Kamiyah is half as old as her sister, Mercy. She also weighs 15 pounds less than Mercy. Plot a point on the coordinate grid above to represent Mercy’s age and weight, and label it with the letter M.

Answer:

1. See below.
2.  

1. How much does a typical calf weigh when it is born?
2. At what age does a typical calf weigh 300 pounds?
3. How much weight does a typical calf gain between months 4 and 8 of its life? How do you know?
4. What does the coordinate (12, 450) mean in the context of the problem?
5. During which months does a typical calf gain weight the fastest? The slowest? How do you know?

Answer:

1. 75 pounds
2. 6 months
3. 150 pounds
4. At 12 months a typical calf weighs 450 pounds.
5. Between months 0 and 8 a typical calf gains weight fastest. Between months 10 and 18 a typical calf gains weight the slowest. I can tell this from the slopes of the lines, the fastest time has the steepest slope and the slowest time has the least steep slope.

Max has $50 in his bank account. He makes $8 per hour bagging groceries at his friend’s store.

1. Construct a graph to show how much money Max has after each hour of bagging groceries.
2. What ordered pair represents how much money Max has before he does any bagging?
3. What does the ordered pair (3, 74) represent in the context of the problem?
4. If Max bags groceries for 5 hours how much money will he have?
5. Max wants to buy a toy that costs $100, how many hours will he need to work to buy it?

Answer:

1. 
   

2. (0, 50)

3. Max has worked 3 hours so far and has $74.

4. $90

5. 7 hours

Elise and Jun-Ho are drawing on the sidewalk in chalk. In the sidewalk blocks, they each write a pattern that is 10 numbers long. 

Elise puts 0 in her first block and wants to add 2 every time to get the next number. 

Jun-Ho puts 0 in his first block and wants to add 10 every time to get the next number.

Here is what the sidewalk blocks look like:

Elise:

Jun-Ho:

1. Complete each sidewalk pattern.
2. How many times as much is Jun-Ho's number in the 4th block than Elise's number in the 5th block? What about the numbers in the 7th block? The 10th block?
3. What pattern do you notice in your answers for Part (b)? Why do you think that pattern exists?
4. If Elise and Jun-Ho kept their sidewalk patterns going, what number will be in Elise’s block when Jun-Ho’s corresponding block shows 190?

Answer:

1. Elise:

Jun-Ho:

2. Jun-Ho's number in the 4th block is 5 times as much as Elise's number. The same is true of the numbers in the 7th block and the 10th block. 
3. I notice that Jun-Ho's numbers are always 5 times as much as Elise's numbers. I think this pattern exists because Elise started at 0 and is counting by 2s but Jun-Ho started at 0 and is counting by 10, so Jun-Ho is always counting by fives times as much. 
4. When Jun-Ho's number is 190, Elise's number will be 38.