Bunuel wrote:

A rental car agency owns 100 total vehicles, each of which is a compact or full-sized car. On a certain day, 40% of the cars were not rented. Of those that were rented, 1/4 were compact cars. If there was the same number of compact cars and full-size cars that were not rented that day, how many full-size cars does the agency own?

A. 45

B. 50

C. 55

D. 60

E. 65

We know that 100 x 0.4 = 40 vehicles were not rented, and thus 60 were rented.

(1/4) x 60 = 15 compact cars were rented; thus, 60 - 15 = 45 full-size cars were rented.

Since the same number of compact cars and full-size cars were not rented that day, 20 compact and 20 full-size cars were not rented.

Therefore, there were 20 + 45 = 65 full-size cars.

Answer: E

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