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Using Bar Models: Multiplication and Division

CHAPTER

9

Thinking SkillsPROBLEM SOLVING

Solve. Use bar models to help you.

1. The cost of 5 apples is $4.Mrs. Shulter has $28.How many apples can she buy?

$4

$28

?

5 apples

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2. A number is divided by 4.The result is the same as 63 divided by 3.What is the number?

?

63

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3. A rental shop has 15 bicycles and some tricycles in the shop.The total number of wheels in the shop is 72.How many tricycles are there?

72 wheels

? � 3 15 � 2

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4. A pair of socks cost $12.During a sale, Peter will save $2 if he buys 2 pairs of socks in all.

$12$12

Regular price

Sale

? $2

a. What is the cost of 1 pair of socks at the sale?

b. Peter buys 6 pairs of socks during the sale and 1 pair of socksafter the sale.How much does Peter pay in all?

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5. A fruit seller has some peaches.He throws away 15 rotten peaches.He packs the rest equally into 8 bags.There are 6 peaches in each bag.How many peaches did the seller have at fi rst?

Before

After

156 6 6 6 6 6 6 6

?

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6. Candice, Kerry, and Nathan sold a total of 85 tickets to theschool’s production.Candice sold three times as many tickets as Nathan.Kerry sold 4 more tickets than half of what Nathan sold.How many tickets did Kerry sell?

Candice

Nathan

Kerry

?

85 tickets

4 tickets

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PROBLEM SOLVING

Strategies

Solve. Use bar models to help you.

7. 72 is subtracted from 3 times a number.The result is 3 times the difference.What is the number?

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8. Mr. Suresh is 6 times as old as his daughter is now.After 14 years, their total age will be 63.How old is Mr. Suresh now?

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9. Tammy had 73 stickers.Sheree had 17 stickers. Tammy gives some stickers to Sheree.Now, Tammy has twice as many stickers as Sheree.How many stickers did Tammy give to Sheree?

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10. Pedro pays a total of $72 for some pens and rulers.He buys 4 more pens than rulers.A pen costs $1.A ruler costs 3 times as much as a pen. How many pens does Pedro buy?

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ExplorationPROBLEM SOLVING

Solve using two methods.First, use bar models to solve.Then, use the ‘make a table or a list’ strategy to solve.

11. Lily and Mary had 48 beads in all.Lily gives 15 beads to Mary.Now they have the same number of beads.How many beads did each girl have at fi rst?

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Journal Writing

Write a two-step word problem using these words and numbers. Then solve the problem using bar models.

12.

three times as much as $105 saves

Sam Kay Belinda twice as much as in all

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Write a two-step word problem using the bar models. Then solve the problem.

13.

Before

After

18 18 18 18

28

Claire Eric Audrey

15 32

?

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Write a two-step word problem using the bar models. Then solve the problem.

14. Anna

16 trading cards

106 trading cards?

David

Julia

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