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# A rental car agency owns 100 total vehicles, each of which is a compac

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Math Expert
Joined: 02 Sep 2009
Posts: 54544
A rental car agency owns 100 total vehicles, each of which is a compac  [#permalink]

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15 Aug 2017, 01:07
00:00

Difficulty:

15% (low)

Question Stats:

87% (01:40) correct 13% (01:53) wrong based on 96 sessions

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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

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Re: A rental car agency owns 100 total vehicles, each of which is a compac  [#permalink]

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15 Aug 2017, 01:41
Given data:
Total Vehicles - 100
Vehicles not rented(40%) - 40
Vehicles rented(60%) - 60

Rented - Compact cars : $$\frac{1}{4} * 60 = 15$$
Rented - Full size cars : $$\frac{3}{4} * 60 = 45$$
Since there was the same number of compact cars and full-size cars that were not rented that day,
Not rented - Full-Size cars = Not rented - Compact = 20

Therefore, the agency owns 20+45(65) full size cars(Option E)
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Re: A rental car agency owns 100 total vehicles, each of which is a compac  [#permalink]

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18 Aug 2017, 09:15
1
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.

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Re: A rental car agency owns 100 total vehicles, each of which is a compac   [#permalink] 18 Aug 2017, 09:15
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