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# Company S produces two kinds of stereos: basic and deluxe.

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Company S produces two kinds of stereos: basic and deluxe. [#permalink]

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09 May 2005, 19:24
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?

1. 7/17
2. 14/31
3. 7/15
4. 17/35
5. 1/2
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09 May 2005, 21:00
x - hours to produce basic stereo
N - total number of steroids

(7/5) * x - hours to produce delux stereo
(2/3) * N - basic steroids
(1/3) * N - delux steroids

Time to produce delux steroids (1/3) * N * (7/5) * x = (7/15) * N *x
Total time (2/3) * N * x + (1/3) * N * (7/5) * x = (17/15) * N * x

Fraction - 7/17

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10 May 2005, 00:30
Of the total stereos, 1/3 deluxe, 2/3 basic.
Ratio of Hours (Deluxe : Basic) = (1/3)x(7/5) : (2/3)x1 = 7/15 : 10/15
Thus proportion of deluxe hours = 7/(7+10) = 7/17
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Re: nmber of hours   [#permalink] 10 May 2005, 00:30
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