# Lesson 2

Representing Ratios with Diagrams

### Problem 1

Here is a diagram that describes the cups of green and white paint in a mixture.

Select all the statements that correctly describe this diagram

A:

The ratio of cups of white paint to cups of green paint is 2 to 4.

B:

For every cup of green paint, there are two cups of white paint.

C:

The ratio of cups of green paint to cups of white paint is $$4:2$$.

D:

For every cup of white paint, there are two cups of green paint.

E:

The ratio of cups of green paint to cups of white paint is $$2:4$$.

### Solution

For access, consult one of our IM Certified Partners.

### Problem 2

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds.

1. Create a diagram to represent the quantities of each ingredient in this recipe.

2. Use your diagram to complete each sentence.

• The ratio of __________________ to __________________ to __________________ is ________ : ________ : ________.
• There are ________ cups of pretzels for every cup of raisins.
• There are ________ cups of almonds for every cup of raisins.

### Solution

For access, consult one of our IM Certified Partners.

### Problem 3

1. A square is 3 inches by 3 inches. What is its area?
2. A square has a side length of 5 feet. What is its area?
3. The area of a square is 36 square centimeters. What is the length of each side of the square?

### Solution

For access, consult one of our IM Certified Partners.

(From Unit 1, Lesson 17.)

### Solution

For access, consult one of our IM Certified Partners.

(From Unit 1, Lesson 11.)

### Problem 5

Complete each equation with a number that makes it true.

1. $$\frac18 \boldcdot 8 = \text{_______}$$
2. $$\frac38 \boldcdot 8 = \text{_______}$$
1. $$\frac18 \boldcdot 7 = \text{_______}$$
2. $$\frac38 \boldcdot 7 = \text{_______}$$

### Solution

For access, consult one of our IM Certified Partners.

(From Unit 2, Lesson 1.)