All the solutions provided in **McGraw Hill Math Grade 3 Answer Key PDF Chapter 4 Lesson 5 Problem-Solving Investigation: Make a Table** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 4 Lesson 5 Problem-Solving Investigation: Make a Table

**Learn the Strategy**

Selma bought 3 shorts and 2 shirts. Laura, bought 4 shorts and 2 shirts. How many different shirt and shorts outfits can each girl make?

1. Understand

What facts do you know?

___________

What do you need to find?

How many different ___ and ____ outfits they each can make.

2. Plan

Organize the information in a table of columns and rows.

3. Solve

Make a table for each girl. List the possible shirt and shorts outfits.

So, Selma can make ___ outfits, and Laura can make ____.

4. Check

Does your answer make sense? Explain.

____________________

Answer:

We Know that Selma bought 3 shorts and 2 shirts

Laura, bought 4 shorts and 2 shirts

We need to find the The number of different outfits they can make

I used table to find the answer

3 shorts x 2 shirts = 6 combinations

4 shorts x 2 shirts = 8 combinations

So, Selma can make 6 outfits, and Laura can make 8.

**Practice the Strategy**

How many lunches can Malia make if she chooses one main dish and one side dish?

1. Understand

What facts do you know?

_____________

What do you need to find?

_____________

_____________

2. Plan

_____________

3. Solve

4. Check

Does your answer make sense? Explain.

_____________

Answer:

Explanation:

Malia has 3 main dishes and 3 sides dishes

We need to find how the number of lunches she can make using 1 main dish and 1 side dish

I drew a table to show the number of different lunches that Malia can make

3 main dishes are combined with 3 sides dishes

3 x 3 = 9

So, Malia can make 9 different types of lunch.

**Apply the Strategy**

**Solve each problem by making a table.**

Question 1.

Trey can choose one type of bread and one type of meat for his sandwich. How many different sandwiches can Trey make?

Trey can make ___ sandwiches.

Answer:

Explanation:

Trey has 2 types of breads and 2 types of chicken

Trey can choose one type of bread and one type of meat for his sandwich

2 breads can combine with 2 chickens

I drew a table to show the number of possible combinations

2 x 2 = 4

So, Trey can make 4 different sandwiches.

Question 2.

The students in Mr. Robb’s class are designing a flag. The flag’s background can be gold, red, or green. The flag can have either a blue or a purple stripe. Color all the possible flags.

They can design ___ flags.

Answer:

Explanation:

The students in Mr. Robb’s class are designing a flag

The flag’s background can be gold, red, or green

The flag can have either a blue or a purple stripe

I drew a table to show the number of possible combinations

There are 3 background colors and 2 stripes colors

3 x 2 = 6

So, they can design 6 flags.

Question 3.

**Mathematical PRACTICE 4 Model Math** Tracy has a picture of her mom, a picture of her dad, and a picture of her dog. She has a black frame and a white frame. What is the question? Solve.

Answer:

How many different colors options does Tracy have to make a frame?

Explanation:

Tracy has a picture of her mom, a picture of her dad, and a picture of her dog

She has a black frame and a white frame

Tracy can make 2 frames of pictures using any of 2 colors

2 x 2 = 4

So, Tracy has an option of making 4 frames using the pictures and color frames.

**Review the Strategies**

Use any strategy to solve each problem.

- Use the four-step plan.
- Determine reasonable answers.
- Make a table

Question 4.

Amber has coins in a jar. The sum of the coins is 13⊄. What are the possible groups of coins Amber could have?

Answer:

Explanation:

Amber has coins in a jar

The sum of the coins is 13⊄

We need of find the possible groups of coins that Amber could have

I drew a table to show the number of possible combinations

So, there are 4 possible groups of coins that Amber can have.

Question 5.

Solaria buys 2 bags of salad mix for $8 and 3 pounds of fresh vegetables for $9. She gives the cashier $20. How much change will she receive?

Answer:

$3

Explanation:

Solaria buys 2 bags of salad mix for $8 and

3 pounds of fresh vegetables for $9

She gives the cashier $20

We need to find the amount of change she receives

First add $8 and $9

8 + 9 = 17

Now, Subtract $17 from $20

20 – 17 = 3

So, Solaria receives $3 change.

Question 6.

**Mathematical PRACTICE 6 Be Precise** Mr. Grow has 12 tomato plants arranged in 2 rows of 6. List 2 other ways that Mr. Grow could arrange his 12 tomato plants in equal rows. Explain to a classmate how you got your answer.

Answer:

Explanation:

Mr. Grow has 12 tomato plants arranged in 2 rows of 6

We need to find the 2 other ways that Mr. Grow could arrange his 12 tomato plants in equal rows

The first arrangement is 2 rows of 6

The 2 other arrangements Mr. Grow could make are

3 rows of 4

3 x 4 = 12

4 rows of 3

4 x 3 = 12

So, I drew to show the 2 other arrangements that Mr. Grow could arrange his 12 tomato plants in equal rows.

Question 7.

**Mathematical PRACTICE 5 Use Math Tools** One campsite has 3 tents with 5 people in each tent. Another campsite has 3 tents with 4 people in each. How many campers are there in all? Draw an array to solve.

Answer:

Explanation:

One campsite has 3 tents with 5 people in each tent

Another campsite has 3 tents with 4 people in each

We need to find the number of campers in all

I drew arrays to show the equal groups

3 tents with 5 people is 3 groups of 5

3 x 5 = 20

3 tents with 4 people is 3 groups of 4

3 x 4 = 12

Add 20 and 12

20 + 12 = 32

So, there are 32 campers in all.

### McGraw Hill My Math Grade 3 Chapter 4 Lesson 5 My Homework Answer Key

**Problem Solving**

Question 1.

Solve the problem by making a table.

Claudio will decorate his bedroom. He can choose tan, blue, or gray paint and striped or plaid curtains. How many ways can he decorate his room with different paint and curtains?

Answer:

Explanation:

Claudio will decorate his bedroom

He can choose tan, blue, or gray paint and striped or plaid curtains

We need to find the number of ways Claudio can decorate his room with different pain and curtains

There are 3 paints and 2 types of curtains

I drew a table to show the number of possible combinations

3 x 2 = 6

So, Claudio can decorate his room with 6 different combinations of paints and curtains.

**Solve each problem by making a table.**

Question 2.

Jimmy has a number cube labeled 1 through 6, and a penny. How many different ways can the cube and penny land with one roll of the cube and one flip of the penny?

Answer:

Explanation:

Jimmy has a number cube labeled 1 through 6, and a penny

We need to find the different ways that a cube and penny land with one roll of the cube and one flip of the penny

A penny has 2 faces one is heads and the other is tails

I drew a table to show the number of possible combinations

6 x 2 = 12

So, 12 different ways of cube and penny can land with one roll of cube and one flip of penny.

Question 3.

Archie earns $4 each week for doing his chores. How much money will Archie earn in 2 months if there are 4 weeks in each month?

Answer:

Explanation:

Archie earns $4 each week for doing his chores

We need o find how much can Archie earn in 2 months if there are 4 weeks in each month

I drew a table to show the number of possible combinations

2 x 4 = 8 weeks

8 x $4 = $32

So, Archie can earn $32 in 2 months.

Question 4.

**Mathematical PRACTICE 7 Identify Structure** Abigail has a green, yellow, and purple shirt to match with either a white, black, or red pair of pants. How many different shirt and pants outfits can she make?

How many outfits would be possible if Abigail had only 2 shirts and 2 pair of pants? Explain.

Answer:

Explanation:

Problem1:

Abigail has a green, yellow, and purple shirt to match with either a white, black, or red pair of pants

We need to find the number of different outfits that Abigail can make

I drew a table to show the number of possible combinations

3 x 3 = 9

So, Abigail can make 9 different kinds of outfits.

Problem2:

Abigail has a green and purple shirt to match with either a white or red pair of pants

We need to find the number of different outfits that Abigail can make

I drew a table to show the number of possible combinations

2 x 2 = 4

So, Abigail can make 4 different kinds of outfits.