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# 1/5 of all the cars on a certain auto lot are red, and 2/3 of all the

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Joined: 02 Sep 2009
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1/5 of all the cars on a certain auto lot are red, and 2/3 of all the  [#permalink]

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17 Dec 2018, 23:18
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:15) correct 33% (01:54) wrong based on 59 sessions

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$$\frac{1}{5}$$ of all the cars on a certain auto lot are red, and $$\frac{2}{3}$$ of all the red cars are convertibles. What fraction of all the cars are NOT red convertibles?

A. 1/15
B. 2/15
C. 7/15
D. 11/15
E. 13/15

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Re: 1/5 of all the cars on a certain auto lot are red, and 2/3 of all the  [#permalink]

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17 Dec 2018, 23:31
Bunuel wrote:
$$\frac{1}{5}$$ of all the cars on a certain auto lot are red, and $$\frac{2}{3}$$ of all the red cars are convertibles. What fraction of all the cars are NOT red convertibles?

A. 1/15
B. 2/15
C. 7/15
D. 11/15
E. 13/15

Let total no of cars be 30

$$\frac{1}{5}$$ of all the cars on a certain auto lot are red =(1/5)*30=6

$$\frac{2}{3}$$ of all the red cars are convertibles = (2/3)*6 = 4

fraction of all the cars are red convertibles = 4/30 = 2/15

fraction of all the cars are NOT red convertibles = 1-(2/15) = 13/15

Hence E
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Re: 1/5 of all the cars on a certain auto lot are red, and 2/3 of all the  [#permalink]

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18 Dec 2018, 10:59
Let total no.of cars be 1
The no. of red cars: 1/5
The no. of red convertible cars= (1/5)*(2/3)=2/15
Therefore, cars which are NOT red convertibles= 1-2/15= 13/15
Re: 1/5 of all the cars on a certain auto lot are red, and 2/3 of all the   [#permalink] 18 Dec 2018, 10:59
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