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Using Bar Models: Addition and Subtraction

CHAPTER

5

Thinking SkillsPROBLEM SOLVING

Solve. Use bar models to help you.

1. Olivia and Hannah collect 1,286 stamps in all. Olivia collects 454 stamps. How many more stamps does Hannah collect than Olivia?

Olivia1,286 stamps

454 stamps ?

Hannah

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2. John, Thomas, and Lily save $397 in all. John saves $109 and Thomas saves $193. Lily saves the least. How much more does John save than Lily?

Lily

$397

$193

$109

?

John

Thomas

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3. Emma and Mary have 1,483 baseball cards in all. Emma and Jennifer have 1,765 baseball cards in all. Jennifer has twice as many baseball cards as Mary. How many baseball cards does Emma have?

1,483 baseball cards

1,765 baseball cards

?

E

E M M

J

M

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PROBLEM SOLVING

Strategies

Solve. Use bar models to help you.

4. Three boxes are packed with CDs. Box A has 183 CDs. Box B has 56 more CDs than Box A. Box C has the same number of CDs as the sum of the CDs in the other two boxes. What is the sum of the CDs in all three boxes?

Box C

?

56 CDs

56 CDs

183 CDs

Box B

Box A

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5. Jessica gives William, Ashley, and Abigail some blocks. William receives twice as many as Ashley. Abigail receives half as many as Ashley. Abigail receives 56 blocks. How many blocks does Jessica give them in all?

Abigail

56 blocks

?Ashley

William

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6. Twice as many girls as boys were in a hall. When 105 girls left the hall, three times as many boys as girls were left.If 21 girls are left, how many children werein the hall at fi rst?

21 105

?Girls

Boys

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7. Mickey and Taylor have 754 baseball cards in all. Mickey and Sophia have 1,132 baseball cards in all. Sophia has twice as many baseball cards as Taylor. How many baseball cards do they have in all?

754 baseball cards

1,132 baseball cards

M

M T

S

T

T

?

M T S

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8. Aleesha had 36 marbles at fi rst. She then received 56 marbles from Emma, and 138 marbles from Natalie.Now, Aleesha has 89 fewer marbles than Emma, and 105 more marbles than Natalie.How many marbles did Emma and Natalie have at fi rst?

Natalie

Emma 56

138

105 marbles

Aleesha 56 13836

?

89 marbles

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ExplorationPROBLEM SOLVING

Solve. Use bar models to help you.

9. Janet and Austin together read 42 books in one month. Janet read 8 more books than Austin read. How many books did Austin read?

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Journal Writing

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

10. students boys girls 12

96 swimming competition more

totaltook part than

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Use the bar models to write a two-step word problem. Then solve the problem.

11.

72 books

45 books

?Sarah

Anthony

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Use the bar models to write a two-step word problem. Then solve the problem.

12.

?

32 toys

84 toysAva

Brandon

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