# Multi-step ratio and percent problems

CCSS Math: 7.RP.A.3

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

## Problem 1: Magic carpet

A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below:

- $10$ parts gold yarn
- $7$ parts bronze yarn
- $3$ parts silver yarn

## Problem 2: Soccer

Joel is training for soccer season.

- On Monday, Joel exercises for $20$ minutes before school, and $25\%$ of that time is spent playing soccer.
- On Monday, Joel exercises for $60$ minutes after school, and $40\%$ of that time is spent playing soccer.

## Problem 3: Candles

A candle maker plans to make $30$ orange candles. She mixes wax to create a specific shade of orange. The ratio of each color in her mixture is shown below:

- $2$ parts red wax
- $5$ parts yellow wax
- $3$ parts white wax