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?
Accepted Solution
A:
Answer: 30Step-by-step explanation:Let x be the number of Beetles.Then , the number of Acuras = [tex]\dfrac{1}{2}x[/tex]Also, The number of Camrys is 80% of the number of Acuras and Beetles together. Thus , the number of Camrys =[tex]0.8(x+\dfrac{1}{2}x)[/tex]Now, the total number of cars in parking lot will be :-[tex]x+\dfrac{1}{2}x+0.8(x+\dfrac{1}{2}x)=81\\\\\Rightarrow\ \dfrac{3x}{2}+0.8(\dfrac{3x}{2})=81\\\\\Rightarrow\ \dfrac{3x+2.4x}{2}=81\\\\\Rightarrow\ 5.4x=2\times81\\\\\Rightarrow\ x=\dfrac{162}{5.4}=30[/tex]Hence, there are 30 Beetles.