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# One-quarter of the cars that an automobile manufacturer pro

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One-quarter of the cars that an automobile manufacturer pro [#permalink]  06 Jun 2017, 06:37
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Question Stats:

50% (00:00) correct 50% (02:46) wrong based on 2 sessions

One-quarter of the cars that an automobile manufacturer produces are sports cars, and the rest are sedans. If one-fifth of the cars that the manufacturer produces are red and one-third of the sports cars are red, then what fraction of the sedans is red?

[Reveal] Spoiler:
$$\frac{7}{45}$$

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Re: One-quarter of the cars that an automobile manufacturer pro [#permalink]  11 Oct 2017, 06:24
Let's find a number for the total car that is suitable to our computations. Since we are going to divide this number by 4, 3 and 5, we can use 4*3*5 = 60.

Then, the number of sports car is 1/4*60 = 15, while the sedans are 3/4*60 = 45.

Red cars are 1/5*60 = 12, while red sport cars are 1/3*15 = 5.

Now in order to find the number of red sedans, we can take the remaining red cars as 12-5 = 7 and compute the fraction as 7/45.
Re: One-quarter of the cars that an automobile manufacturer pro   [#permalink] 11 Oct 2017, 06:24
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