# Ratios & Proportional Relationships

## My Standard

7.RP.A.3: Using proportional relationships to solve real-world mathematical problems.

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

## What is a proportional relationship?

Definition: A relationship between two equal ratios.

Example: Apples are sold in groups of seven for three dollars. Therefore the ratio would be 7 to 3 (or 7:3).

## Question 1

The ratio of the number of adults to the number of children at a concert is 5 to 3. If there is a total of 120 people at the concert, how many children are there?

A) 45

B) 48

C) 72

D) 75

## Question 2

The school office orders boxes of pencils and boxes of pens in a ratio of 5 to 2. If 60 boxes of pencils are ordered, how many boxes of pens should be ordered.

A) 12

B) 14

C) 24

D) 57

A) 0.8

B) 1.2
C) 1.8

D) 2.2