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

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Senior Manager
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Company S produces two kinds of stereos: basic and deluxe. [#permalink] New post 09 May 2005, 19:24
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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 [#permalink] New post 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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Re: nmber of hours [#permalink] New post 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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Company S produces two kinds of stereos: basic and deluxe.

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