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

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

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08 Oct 2006, 10:15
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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?

A. 7/17
B. 14/31
C. 7/15
D. 17/35
E. 1/2
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Senior Manager
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08 Oct 2006, 10:23
A 7/17

Take a number like 30 (total stereos)

Hence basic = 20 and deluxe = 10. If we assume 1 hour for basic it takes 1.4 hours for deluxe

Hence time for deluxe / total time = 10*1.4/(20 + 14) = 14/24 = 7/17.
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08 Oct 2006, 10:45
gmatornot wrote:
A 7/17

Take a number like 30 (total stereos)

Hence basic = 20 and deluxe = 10. If we assume 1 hour for basic it takes 1.4 hours for deluxe

Hence time for deluxe / total time = 10*1.4/(20 + 14) = 14/24 = 7/17.

Hey why don't u assume 5hrs and 7 hrs........
It will be much faster..........

20 basic 5 hrs each total 100 hrs
10 delux 7 hrs each total 70 hrs
So 70/170 i.e. 7/17

A
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08 Oct 2006, 10:50
Straight A.

Plugged in 60 for total number produced...yields 40 basic and 20 deluxe. Yields 68 total hours, 28 of which are from deluxe...
08 Oct 2006, 10:50
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