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There are 81 cars in the CMC parking lot, which are all Acuras, Beetles, or Camrys. There are half as many Acuras as Beetles. The number of Camrys is 80\% of the number of Acuras and Beetles together. How many of the 81 cars are Beetles?

User Arttronics
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2 Answers

3 votes

Answer:

30 of the cars

Explanation:

I just did the question on Alcumus.

Hope this helped! :)

There are 81 cars in the CMC parking lot, which are all Acuras, Beetles, or Camrys-example-1
User Anis D
by
6.2k points
7 votes

Answer: 30

Explanation:

Let x be the number of Beetles.

Then , the number of Acuras =
(1)/(2)x

Also, The number of Camrys is 80% of the number of Acuras and Beetles together.

Thus , the number of Camrys =
0.8(x+(1)/(2)x)

Now, the total number of cars in parking lot will be :-


x+(1)/(2)x+0.8(x+(1)/(2)x)=81\\\\\Rightarrow\ (3x)/(2)+0.8((3x)/(2))=81\\\\\Rightarrow\ (3x+2.4x)/(2)=81\\\\\Rightarrow\ 5.4x=2*81\\\\\Rightarrow\ x=(162)/(5.4)=30

Hence, there are 30 Beetles.

User Aiysha
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6.9k points