Go through the Math in Focus Grade 3 Workbook Answer Key Chapter 5 Using Bar Models: Addition and Subtraction to finish your assignments.

## Math in Focus Grade 3 Chapter 5 Answer Key Using Bar Models: Addition and Subtraction

**Math Journal**

**Write your own real-world problem. Solve. Draw bar models to help you.**

The Park Fund raises $2,960. The Playground Fund raises $2,662.

Example

Word problem

The Park Fund raises $2,960. The Playground Fund raises $298 less than the Park Fund. How much does the Playground Fund raise?

Model

Solution

$2,960 – $298 = $2,662

The Playground Fund raises $2,662.

**Now you try it!
**

**Word problem**

The Park Fund raises $2,960. The Playground Fund raises $2,662. Who raised more funds and how much.

**Model**

Solution:

Park funds raised $298 more than playground funds.

Explanation:

Amount of funds park raised = $2960.

Amount of funds playground raised = $2662.

Difference:

Amount of funds park raised – Amount of funds playground raised

= $2960 – $2662

= $298.

**Put On Your Thinking Cap!
**

**Challenging Practice**

Look at the cards.

Think of three ways to choose two cards. Find the sum of the two cards.

A and B ; __318__ + __456__ = __774__

Question 1.

____ and ___ ; ____ + ____ = ____

Answer:

B and C ; 456 + 195 = 651.

Explanation:

B + C ; 456 + 195

= 651.

Question 2.

____ and ___ ; ____ + ____ = ____

Answer:

C and A ; 195 + 318 = 513.

Explanation:

C + A ; 195 + 318

= 513.

**Fill in the missing letters.
**Question 3.

Which two cards give the greatest sum? ____ and ________

Answer:

A and B two cards give the greatest sum of 774.

Explanation:

A and B ; 318 + 456 = 774__
__B and C ; 456 + 195 = 651.

C and A ; 195 + 318 = 513.

Question 4.

Which two cards give the least sum? ____ and __________

Answer:

C and A two cards give the least sum.

Explanation:

A and B ; 318 + 456 = 774__
__B and C ; 456 + 195 = 651.

C and A ; 195 + 318 = 513.

Question 5.

Which two cards give the greatest difference? __________ and __________

Answer:

B and C two cards give the greatest difference.

Explanation:

A = 318.

B = 456.

C = 195.

Difference:

B – A = 456 – 318 = 138.

B – C = 456 – 195 = 261.

A – C = 318 – 195 = 123.

Question 6.

Which two cards give the least difference? ___________ and ___________

Answer:

A and C two cards give the least difference.

Explanation:

A = 318.

B = 456.

C = 195.

Difference:

B – A = 456 – 318 = 138.

B – C = 456 – 195 = 261.

A – C = 318 – 195 = 123.

**Put On Your Thinking Cap!
**

**Problem Solving**

Question 1.

Carlos has been collecting cards since he was 5 years old. He has not thrown away any of his cards. He is now 7 years old. He collected 201 cards last year. He collects 1 25 cards this year. He has a total of 589 cards now.

a. How many cards did he have in total at the end of last year?

Answer:

201 cards he has in total at the end of last year.

Explanation:

Number of cards he collects in last years = 201.

Number of cards he collects in this years = 125.

Total number of cards he has now = 589.

b. How many cards did he collect when he was 5 years old?

Answer:

Total number of cards he collected when he was 5 years old = 263.

Explanation:

Number of cards he collects in last year = 201.

Number of cards he collects in this year = 125.

Total number of cards he has now = 589.

Total number of cards he collected when he was 5 years old = Total number of cards he has now – ( Number of cards he collects in last years + Number of cards he collects in this year )

= 589 – (201 + 125)

= 589 – 326

= 263.

Question 2.

Jason, Peter, and Ken hold a garage sale for charity. Jason raises $350. Peter raises $20 more than Jason. Ken raises the same amount as the total amount raised by Jason and Peter. How much money do the three boys raise in all?

Answer:

Amount of money the three boys raise in all = $1440.

Explanation:

Amount of money Jason raises = $350.

Peter raises $20 more than Jason.

=> Amount of money Peter raises =Amount of money Jason raises + $20

=> $350 + $20

= $ 370.

Ken raises the same amount as the total amount raised by Jason and Peter.

=> Amount of money Ken raises = Amount of money Jason raises + Amount of money Peter raises

=> $350 + $370

= $ 720.

Amount of money the three boys raise in all = Amount of money Jason raises + Amount of money Peter raises + Amount of money Ken raises

= $350 + $370 + $720

= $720 + $720

= $1440.