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Company S produces two kinds of stereos: basic and deluxe. [#permalink]
08 Sep 2010, 10:20

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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?

Re: Stereo problem [#permalink]
08 Sep 2010, 11:25

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Expert's post

udaymathapati wrote:

Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 32 were basic and the rest were deluxe. If it takes 57 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

udaymathapati please do check the questions when posting. Correct question is as follows:

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.

Re: Stereo problem [#permalink]
08 Sep 2010, 11:29

Bunuel wrote:

udaymathapati wrote:

Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 32 were basic and the rest were deluxe. If it takes 57 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

udaymathapati please do check the questions when posting. Correct question is as follows:

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.

Answer: A.

OHHHHHHHHHH Goshhhhhhhhhhhhhhhhhh Thanx a lot bunuel u were a savior..I would have spent my whole night solving this question i tried every possible way to find out solution...trust me the only last thing i was trying to find out how can i make this question correct from the answer choices.. (

Re: please help (company problem) [#permalink]
15 Nov 2010, 07:44

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This post received KUDOS

Expert's post

SoniaSaini 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

I'm not getting how to solve it? Please help. Thanks a lot in advance.

The easiest way would be to assume values: 2/3 were basic, 1/3 were deluxe. So assume 2 basic and 1 deluxe were produced. If 5 hrs are needed to make a basic one, 7 hrs are needed to make a deluxe stereo. Total hrs needed = 2 x 5 + 1 x 7 = 17 out of which 7 were used for deluxe stereo. So 7/17 is the fraction of time spent in making the deluxe stereo.

Since everything is in fraction terms, i.e. one related to the other, it is pretty easy to assume values and solve. Same should be done when everything is in percentage terms.
_________________

Re: Stereo problem [#permalink]
18 Jul 2011, 05:37

Hai Karishma,

I have a trouble in calculating the time to produce one deluxe stereo. How did you get value 7. I try to calculate in the following manner. (5+5*7/5) . I know it is wrong. Please explain. where i went wrong

Re: Stereo problem [#permalink]
18 Jul 2011, 20:19

Expert's post

TomB wrote:

Hai Karishma,

I have a trouble in calculating the time to produce one deluxe stereo. How did you get value 7. I try to calculate in the following manner. (5+5*7/5) . I know it is wrong. Please explain. where i went wrong

I have assumed values here. Let's look at the question again.

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.

Ok so if a total of 3 stereos were produced, 2 were basic (because 2/3 are basic) and 1 was deluxe

If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo,

It takes 7/5 as many hours.. So if it takes 5 hrs to produce a basic one, a deluxe one takes 7/5 * 5 = 7 hrs. The question says 7/5 as many hours so you just multiply the hours it takes to produce a basic one with 7/5. Think of it this way - if the question said, "it takes twice as many hours as it takes to produce a basic one..." would you just multiply by 2 or would you follow your method? 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?

Hours taken for 2 basic stereos = 2*5 Hours taken for 1 deluxe = 1*7 Total hours = 17 Required fraction = 7/17
_________________

Re: Stereo problem [#permalink]
05 Aug 2011, 10:58

assuming total stereo's manufactured=210(7*5*3*2) deluxe stereo's= 70 and basic=140 7hrs/deluxe stereo and 5 per basic gives 490 hrs to manufacture deluxe and 700 hrs for basic stereo's therefore 490/(490+700)=7/17 Answer is A
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Re: Company S produces two kinds of stereos: basic and deluxe. [#permalink]
24 Jun 2013, 07:19

1

This post received KUDOS

1.Since the denominator in the fraction representing the number of units is 3 , assume a multiple of 3 as the number of units. Let us say 3 units were produced. So 1 was delux and 2 were basic 2. Since the denominator in the fraction representing the time taken to produce a unit is 5, assume a multiple of 5 as the time taken to produce a unit. Let it be 5. So if it takes 5 units of time to produce a basic set, it takes 7/5 * 5 units of time to produce a deluxe set. That is 7 units of time. 3. From (1) and (2) total time spent on basic and deluxe are 2*5 and 1*7 resp which are 10 and 7 units resp 4. Total time spent on both the basic and deluxe sets is 10+ 7 = 17 5. The fraction of time spent on deluxe = 7/17
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Re: Company S produces two kinds of stereos: basic and deluxe. [#permalink]
25 Jun 2013, 10:53

udaymathapati 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

In the above Questions, we have fractions 2/3, 7/5 and 1/3. We can assume some values and try solving the questions. Since in fraction we have 3 and 5, LCM is 15, Let us assume total production to be multiple of 15 ( say 90) As per question stem, Total production for 90 stereos will be as follows Basic : 60 Deluxe: 30

Let us take time taken to produce 1 Basic stereo to be 5 hours For deluxe stereo, it will be 7/5*7= 7 hours

Total time take to produce deluxe stereo as percentage of total production can now be calculated as follows

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Re: Company S produces two kinds of stereos: basic and deluxe.
[#permalink]
25 Jun 2013, 10:53