At a school fund-raising drive, $350 was collected for washing sedans, coupes, and sport -utility vehicles . The cost of a wash for any type of vehicle was $2. Twice as many coupes were washed as sedans . Four times as many sport - utility vehicles were washed as sedans. How many coupes were washed?

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EMK12 EMK12

02-03-2020
Mathematics

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At a school fund-raising drive, $350 was collected for washing sedans, coupes, and sport -utility vehicles . The cost of a wash for any type of vehicle was $2. Twice as many coupes were washed as sedans . Four times as many sport - utility vehicles were washed as sedans. How many coupes were washed?

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Spykids Spykids · Answer 1 · 2020-03-02T03:49:40+01:00

So we can say that sedans are x, as the other two cars are based on it.

So there are 2 times as many coupes as sedans so coupes are 2x. And there are 4 times as many sports utility vehicles than sedans so they are 4x.

So we can add them all together to get the number of cars washed.

The equation is: x+2x+4x=350
Simplifying your get 7x=350, and x becomes 50.

We then divide 50/2 because 1 car is equal to $2. So then there would be 50 coupes (2 * 25 or 2x) that were washed.

25 sedans, 50 coupes, and 100 sports-utility vehicles were washed.

I hope this helps! (Please thank or brainliest if you can, I’d really appreciate it!)