We included **HMH Into Math Grade 4 Answer Key**** PDF** **Module 3 Lesson 5 Solve Multistep Problems with Multiplication and Division** to make students experts in learning maths.

## HMH Into Math Grade 4 Module 3 Lesson 5 Answer Key Solve Multistep Problems with Multiplication and Division

I can solve multistep problems with multiplication and division by writing equations with letters representing the unknown quantities.

**Step It Out**

1. Airboats are a popular way to tour with shallow water. A small airboat fit 6 people. A large airboat can fit 4 times as many people. How many more people can fit in a large airboat than in a small airboat?

**Break up the problem into smaller steps. Use a bar model and equation to complete each step.**

A. Find how many people fit in a large airboat, n.

____ × ___ = n

____ = n

____ people can fit in a large airboat.

Answer:

Explanation:

6 × 4 = n

24 = n

24 people can fit in a large airboat.

B. Use the result from Part A to find how many more people fit in a large airboat, m.

___ + m = ____

m = _________

___ more people can fit ¡n a large airboat.

Explanation:

24 + m = 6

m = 18

18 more people can fit ¡n a large airboat.

**Turn and Talk** Could you have done the steps in a different order to solve the problem? Explain.

Explanation:

No first we have to do the multiplication

then we have to do the subtraction

Step It Out

Question 2.

A park has reptile shows every weekend. There were 27 people at the show on Saturday. That is 3 times as many people as on Sunday. How many people saw the show that weekend? Write an equation for each step.

A. Find how many people saw the show on Sunday, s.

____ × ___ = _____

____ ÷ ____ = s

____ = s

____ people saw the show on Sunday.

Explanation:

9 × 3 = 27

27 ÷ 3 = s

9 = s

7 people saw the show on Sunday.

B. Use the result from Part A to find how many people saw the show that weekend, w.

_____ + ____ = w

____ = w

That weekend, ___ people saw the show.

Explanation:

27 + 9 = w

36 = w

That weekend, 36 people saw the show.

**Turn and Talk** How could, you use pictures or bar models to help solve the problem?

Explanation:

9 × 3 = 27

27 ÷ 3 = s

9 = s

27 + 9 = w

36 = w

**Check Understanding Math Board**

**Write equations to model and solve the problem. Use letters for the unknowns.**

Question 1.

Mette counts 5 birds and 8 times as many insects in a park. How many more insects than birds does Mette count?

She counts ___ more insects.

Answer:

Mette count 40 more insects than birds.

Explanation:

Mette counts 5 birds and

8 times as many insects in a park.

5 x 8 = 40

She counts 40 more insects.

Question 2.

There are 7 times as many toys as maps in the gift shop. There are 35 toys. How many toys and maps are in the gift shop?

___ toys and maps are in the shop.

Answer:

40 toys and maps are in the shop.

Explanation:

There are 7 times as many toys as maps in the gift shop.

There are 35 toys.

7 x 5 = 35

35 ÷ 7= 5

let g be the total number of toys and maps

g = 35 + 5 = 40

40 toys and maps are in the shop.

**On Your Own**

Question 3.

**Use Tools** Students in the third and fourth grades plant trees in a park. The third graders plant 7 trees. The fourth graders plant 3 times as many trees. How many trees do students in the two grades plant? Use a visual model or an equation to complete each step.

- Find the number of trees the fourth graders plant, m.

___________________________ - Find the number of trees students in the two grades plant, n.

Answer:

number of trees the fourth graders plant, = 28

Explanation:

The third graders plant 7 trees.

The fourth graders plant 3 times as many trees. let us assume as m

7 x m = 21

7 x 3 = 21

let n be the total number of plants

n = 21 + 7

n = 28

Question 4.

**Model with Mathematics** Aditi takes 72 photos of animals. That is 9 times as many photos as Shane takes. How many fewer photos does Shane take than Aditi?

Write equations to model and solve the problem. Let s = the number of photos Shane takes. Let f = how many fewer photos Shane takes than Aditi.

Answer:

64 fewer photos Shane takes than Aditi.

Explanation:

Aditi takes 72 photos of animals.

That is 9 times as many photos as Shane takes.

Let s = the number of photos Shane takes

s = 72 ÷ 9

s = 8

Let f = how many fewer photos Shane takes than Aditi.

f = 72 – 8

f = 64

**On Your Own**

**Model with Mathematics** Write equations to model and solve the problem. Use letters for the unknowns.

Question 5.

Rebecca sees 5 manatees swimming in Florida’s Crystal River. Maya sees 3 times as many manatees as Rebecca. How many more manatees does Maya see than Rebecca?

Answer:

Maya sees 15 more manatees as Rebecca.

Explanation:

Rebecca sees 5 manatees swimming in Florida’s Crystal River.

Maya sees 3 times as many manatees as Rebecca.

let m be the Maya sees manatees as Rebecca.

m = 5 x 3

m = 15

Question 6.

**Geography** Nevada is the driest state. In most years, it gets only 9 inches of rain. Florida usually gets 6 times as much rain as Nevada. The rainiest state, Hawaii, usually gets 10 more inches of rain than Florida each year. About how many inches of rain does Hawaii get in most years?

Answer:

540 inches of rain in Hawaii get in most years

Explanation:

Nevada = 9 inches of rain.

Florida usually gets 6 times as much rain as Nevada.

let f be the rain fall of Florida

f = 9 x 6

f = 54

Hawaii, usually gets 10 more inches of rain than Florida each year.

Let h be the rain fall of Hawaii

h = 54 x 10

h = 540 inches of rain

Question 7.

**STEM** Bromeliads are plants that are adapted to different climates. The leaf bases of some bromeliads catch and hold water. This helps the plant survive in dry conditions. A scientist measures the water held in two bromeliads. The first has 3 fluid ounces. The second has twice as much water as the first. How much water do the two bromeliads hold?

Answer:

6 fluid ounces

Explanation:

First = 3 fluid ounces.

second = 2 x first

let n be the second

n = 2 x 3

n = 6

6 fluid ounces of water that the two bromeliads hold

Question 8.

**Open Ended** Write a multistep word problem than can be modeled by these equations.

Answer:

4 x n = 24

n = 6

24 + 6 = t

30 = t

Explanation:

In a theater there is a dance show conducting every week.

In first week there are 24 shows

that is 4 times as many shows on first day.

What is the total number of shows in the 2 days