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### Course: Operations and Algebraic Thinking 222-226 > Unit 1

Lesson 6: Writing & solving proportions# Multi-step ratio and percent problems

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:

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

## Problem 2: Soccer

Joel is training for soccer season.

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

## 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:

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

## Want to join the conversation?

- almost none of this was covered in the videos.(145 votes)
- I agree I don't know like have the stuff in this thing!(2 votes)

- I dont know how to do ANY of this(108 votes)
- and why dont i see any of this stuff in the viedos(77 votes)
- I liked math until now ):(74 votes)
- it's more complicated than in the videos.(45 votes)
- How do I even know what number to multiply by to get the percent?(35 votes)
- devide the percent by 100(1 vote)

- why wasn't an example like this done on the video. I don't understand this at all(24 votes)
- I think he just forgot to make a video for it.(3 votes)

- On the first question, how did you decide to multiply by 7.5? How was the problem set up? (part over whole)(17 votes)
- I think it is because in order to get '20' to '150' you need to multiply 7.5 by 20. In other words, 150/20 is 7.5 so we already have half of the ratio (The answer must be an equivalent ratio to 3 : 20). __:150. To get the last half of the answer, we must multiply 7.5 by 3 because we already found out that 150/20 is 7.5. 3 x 7.5 is 22.5 so the answer is 22.5 : 150. Hope this helps!(5 votes)

- i did not understand some questions(19 votes)
- this was not covered(16 votes)