# Ratios & Proportional Relationships

### End of Year Project - Allison Dobyns

## 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).

## Examples

## Questions

## 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*

How to work it out: https://docs.google.com/a/students.mgsd.k12.nc.us/presentation/d/1sruzkiu-UcicZmDsP5MlMoZ8DVTbbLoai_oIA8wIvH0/edit?usp=sharing

## 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*

How to work it out: https://docs.google.com/a/students.mgsd.k12.nc.us/presentation/d/18l-vL9oRw-bRAWDfH8bhbNCGZQ-bcKAZLNeU7HmmQo0/edit?usp=sharing

## Question 3

B) 1.2

C) 1.8

D) 2.2

How to work it out: https://docs.google.com/a/students.mgsd.k12.nc.us/presentation/d/1zCQBavcBwddntuASeCH-F_gmn2teQnS7j7uFkB8CEhg/edit?usp=sharing