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

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Intern
Joined: 17 May 2008
Posts: 10
Company S produces two kinds of stereos: basic and deluxe. Of the ster  [#permalink]

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12 Jun 2008, 04:50
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25% (medium)

Question Stats:

78% (01:37) correct 22% (02:21) wrong based on 175 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: company-s-produces-two-kinds-of-stereos-basic-and-deluxe-100661.html

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Manager
Joined: 21 Mar 2008
Posts: 58
Re: Company S produces two kinds of stereos: basic and deluxe. Of the ster  [#permalink]

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12 Jun 2008, 07:41
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1
mrwaxy wrote:
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

The easiest way for me is to plug in numbers.
Let the number of basic stereos produced be 40, and number of delux stereos produced be 20. Total of 60 stereos.
If it takes an hour to produce a basic stereo then it will take 1.4 hours to produce a deluxe stereo.
40 basic stereos = 40 hours.
20 delux stereos = 28 hours.
Total hours = 68.

Then the fraction would be 28/68 = 7/17. Therefore answer A.
Manager
Joined: 01 May 2008
Posts: 79
Location: São Paulo
Re: Company S produces two kinds of stereos: basic and deluxe. Of the ster  [#permalink]

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12 Jun 2008, 08:39
Let´s suppose the Company produced 2 basic and 1 deluxe stereos last month. It takes 7 hours to produce one deluxe, and 5 to produce one basic. So it took 7 (7*1) hours to produce all the deluxe, and 10 (5*2) to produce all the basic. 17 (10+7) hours to produce all the stereos;

I think the key here is to understand the question.
Manager
Joined: 29 Aug 2005
Posts: 213
Re: Company S produces two kinds of stereos: basic and deluxe. Of the ster  [#permalink]

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12 Jun 2008, 08:42
1
mrwaxy wrote:
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

here is the reasoning

let the total number of steros be x therefore we get 2x/3 (basic) and x/3 deluxe steros
lets assume that it takes y hours to produce one basic stero, accordingly it takes 7y/5 hours to produce one deluxe stereo.

Combining both together we get the following

hours to produce 2x/3 basic stereos = 2xy/3
and hours to produce x/3 deluxe stereos = 7xy/15

total hours =17xy/15

therefore we get

(7xy/15)/(17xy/15)

which derives to 7/17

HTH
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The world is continuous, but the mind is discrete
Math Expert
Joined: 02 Sep 2009
Posts: 58402
Re: Company S produces two kinds of stereos: basic and deluxe. Of the ster  [#permalink]

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20 Mar 2015, 09:10
1
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

# of basic stereos was 2/3 of total and # of deluxe stereos was 1/3 of total, let's assume total=15, then Basic=10 and Deluxe=5.

Now, if time needed to produce one Deluxe stereo is 1 unit than time needed to produce one Basic stereo would be 7/5 units. Total time for Basic would be 10*1=10 and total time for Deluxe would be 5*7/5=7 --> total time for both of them would be 10+7=17 --> deluxe/total=7/17.

OPEN DISCUSSION OF THIS QUESTION IS HERE: company-s-produces-two-kinds-of-stereos-basic-and-deluxe-100661.html
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Posts: 13242
Re: Company S produces two kinds of stereos: basic and deluxe. Of the ster  [#permalink]

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17 Sep 2018, 18:31
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Re: Company S produces two kinds of stereos: basic and deluxe. Of the ster   [#permalink] 17 Sep 2018, 18:31
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