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A parking garage has places for a certain number of cars. If [#permalink]
17 Sep 2010, 00:05
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This post was BOOKMARKED
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Difficulty:
45% (medium)
Question Stats:
50% (01:53) correct
50% (00:50) wrong based on 421 sessions
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. \(\frac{4}{5}\)
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. \(\frac{4}{5}\)
As \(\frac{1}{5}\) of the places are left empty then \(\frac{4}{5}\) of the places are filled --> \(\frac{2}{5}\) of the places are used by compact cars, so \(\frac{4}{5}-\frac{2}{5}=\frac{2}{5}\) are used by non-compact cars, which means that non-compact cars take \(\frac{\frac{2}{5}}{\frac{4}{5}}=\frac{1}{2}\) of the filled spaces in the garage.
Or just pick some smart number for total places, let it be 5, then 1 place is left empty, so 4 places are used --> 2 places are used by compact cars and 2 by non-compact cars, so non-compact cars take \(\frac{2}{4}=\frac{1}{2}\) of the filled spaces in the garage.
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. \(\frac{4}{5}\)
Empty = \(\frac{1}{5}\)
Compact cars = \(\frac{2}{5}\)
Non compact = \(1- \frac{1}{5} -\frac{2}{5}\) = \(\frac{2}{5}\)
Total filled spaces = \(\frac{2}{5}\) + \(\frac{2}{5}\) = \(\frac{4}{5}\)
fraction of the filled spaces in the garage by non compact cars = \(\frac{2}{5}\)/\(\frac{4}{5}\)
Re: Parking garage [#permalink]
12 Nov 2012, 11:44
I substituted numbers- 100 total car spots. 1/5 or 20 are empty. 80 numbers are used spots for both compact and non-compact cars. 2/5 are used by compact cars, which means 3/5 are used by non-compact cars. 3/5 of 80 is 48. 48/80 is not 1/2.... where did i go wrong?? _________________
Re: Parking garage [#permalink]
13 Nov 2012, 02:05
1
This post received KUDOS
Expert's post
JJ2014 wrote:
I substituted numbers- 100 total car spots. 1/5 or 20 are empty. 80 numbers are used spots for both compact and non-compact cars. 2/5 are used by compact cars, which means 3/5 are used by non-compact cars. 3/5 of 80 is 48. 48/80 is not 1/2.... where did i go wrong??
The red part is not correct. Total of 100 spots: 20 are empty; 80 are used; 40 are used by compact cars; 80-40=40 are used for non-compact cars.
So non-compact cars take 40/80=1/2 of the filled spaces in the garage.
Re: A parking garage has places for a certain number of cars. If [#permalink]
23 Aug 2014, 06:26
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Re: A parking garage has places for a certain number of cars. If [#permalink]
07 Dec 2015, 06:58
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