jamiedimonn
cano
A parking garage has places for a certain number of cars. If \(\frac{1}{5}\) of the places are left empty, and \(\frac{2}{5}\) of the places are used by compact cars, non-compact cars take up what fraction of the filled spaces in the garage?
A. \(\frac{1}{3}\)
B. \(\frac{2}{5}\)
C. \(\frac{1}{2}\)
D. \(\frac{3}{5}\)
E. \(\frac{4}{5}\)
hey
Bunuel , let total be n and then empty are 1/5n and then 4/5 are filled . in those filled 2/5 are compact then
that means 2/5 into 4/5 which is 8/25n so now remaining space is 12/25n and ans is 12/25/4/5 which comes out as 3/5 what did i do wrong please explain boss please!!
The red part is not correct.
As \(\frac{n}{5}\) of the places are left empty, then \(\frac{4n}{5}\) of the places are filled.
Out of these, \(\frac{2n}{5}\) of the places are used by compact cars, so \(\frac{4n}{5}-\frac{2n}{5}=\frac{2}{5}\) are used by non-compact cars.
This means that non-compact cars take \(\frac{(\frac{2n}{5})}{(\frac{4n}{5})}=\frac{1}{2}\) of the filled spaces in the garage.
Alternatively, pick a smart number for the total places, such as 5. If 1 place is left empty, then 4 places are used. Of these, 2 places are used by compact cars and 2 by non-compact cars. Therefore, non-compact cars take \(\frac{2}{4}=\frac{1}{2}\) of the filled spaces in the garage.
Answer: C.
P.S. When facing problems, with your approach, please review the solutions provided carefully. They might give you a hint about where you are going wrong with your approach.