- Solving percent problems
- Equivalent expressions with percent problems
- Percent word problem: magic club
- Percent problems
- Percent word problems: tax and discount
- Tax and tip word problems
- Percent word problem: guavas
- Discount, markup, and commission word problems
- 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 parts bronze yarn parts silver yarn
The magic carpet is made with a total of
meters of yarn.
How much silver yarn is in the magic carpet?
Jasmine buys the magic carpet on sale for
. Jasmine saved off the regular price.
What percent was the price of the magic carpet discounted?
Problem 2: Soccer
Joel is training for soccer season.
- On Monday, Joel exercises for
minutes before school, and of that time is spent playing soccer.
- On Monday, Joel exercises for
minutes after school, and of that time is spent playing soccer.
What is the total amount of time, in minutes, that Joel plays soccer on Monday?
more minutes playing soccer after school on Tuesday than he did on Monday. He still exercises for a total of minutes after school.
What percent of his time exercising after school did Joel spend playing soccer on Tuesday?
On Wednesday, Joel, who is right-footed, takes exactly
of his practice shots on goal with his left foot. Joel takes shots with his left foot.
How many total shots on goal did Joel take on Wednesday?
Problem 3: Candles
A candle maker plans to make
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 parts yellow wax parts white wax
The candle maker needs
quart of orange wax for every candles.
How much yellow wax will the candle maker need to make all
The candle maker makes a second batch of orange wax using the same ratio of yellow to red to white wax. She uses
quarts of red wax in the second batch of orange wax.
How many total quarts is the second batch of orange wax?
The candles turn out great! So, the candle maker raises her normal price and sells
candles for . She usually charges for candles.
How many dollars, per candle, did the candle maker raise her price?
The candle maker makes a total of
orange candles. This is of all the candles she made this week.
How many candles did the candle maker make this week?
Want to join the conversation?
- I dont know how to do ANY of this(91 votes)
- I liked math until now ):(48 votes)
- How do I even know what number to multiply by to get the percent?(31 votes)
- im failing this class IDK HOW TO DO ANY OF THISSSS(21 votes)
- Here's an example that might help you!
lets say that Joey exercised 60 min on Monday after school, and 40% of it was playing soccer. So on Monday, he practiced 60(.40)=24 minutes playing soccer.
He played 27 more (adding) minutes playing soccer on Tuesday after school. Adding 24+27=51.(11 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!(4 votes)
- why wasn't an example like this done on the video. I don't understand this at all(18 votes)