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51% of people surveyed have played game XYZ...(57% of men

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young_gun
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51% of people surveyed have played game XYZ...(57% of men [#permalink] New post   20 Jun 2008, 08:27
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51% of people surveyed have played game XYZ...(57% of men and 42% of women).

From this can we infer the ratio of men to women in the survey?

is it, 3 men: 2 women?



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Re: 51% of people surveyed have played game XYZ...(57% of men [#permalink] New post   20 Jun 2008, 08:42
51%T = 57%M + 42%W => .51T = .57M + .42W

let's say T = 100 => 51 = .57M + .42W

It seems to me that because we can't compare them directly as a fraction to a number any way you solve it we can't create a ratio (which is a fraction).

Maybe I am missing something. Anybody else see something?
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Re: 51% of people surveyed have played game XYZ...(57% of men [#permalink] New post   20 Jun 2008, 08:51
I feel like it should be solvable b/c I take the simple case of 50% playing the game and 20% woman and 80% men and I can figure out that when there are 10 total playing we have 4 men and 1 woman. But maybe I am simplifying too much?
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Re: 51% of people surveyed have played game XYZ...(57% of men [#permalink] New post   20 Jun 2008, 08:53
These numbers are not directly divisible

Let us go with 100 member in total

Men playing XYZ 57% of 51 approximately = 30
Men NOT playing XYZ 43% of 49 approximately = 20

We can calculate for women to arrive at their numbers summing to 50

So, the ratio should be close to 1: 1
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Re: 51% of people surveyed have played game XYZ...(57% of men [#permalink] New post   20 Jun 2008, 09:00
jmaynardj wrote:
51%T = 57%M + 42%W => .51T = .57M + .42W

let's say T = 100 => 51 = .57M + .42W

It seems to me that because we can't compare them directly as a fraction to a number any way you solve it we can't create a ratio (which is a fraction).

Maybe I am missing something. Anybody else see something?


Heh got it:

.51T = .57M + .42W (T = W +M)
.51(M + W) = .57M +.42W => 51M + 51W = 57M + 42W => 9W = 6M => M/W = 3/2

So yes the ratio is 3/2.
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Re: 51% of people surveyed have played game XYZ...(57% of men [#permalink] New post   20 Jun 2008, 09:24
jmaynardj wrote:
jmaynardj wrote:
51%T = 57%M + 42%W => .51T = .57M + .42W

let's say T = 100 => 51 = .57M + .42W

It seems to me that because we can't compare them directly as a fraction to a number any way you solve it we can't create a ratio (which is a fraction).

Maybe I am missing something. Anybody else see something?


Heh got it:

.51T = .57M + .42W (T = W +M)
.51(M + W) = .57M +.42W => 51M + 51W = 57M + 42W => 9W = 6M => M/W = 3/2

So yes the ratio is 3/2.



Yes, this solution is perfect jmaynardj.

Even taking the Do Not play... it results the same.

.49 T = .43M +.58W
49M+49W = 43M + 58W
6M= 9W
M/W=9/6 =3/2


+1



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: 51% of people surveyed have played game XYZ...(57% of men [#permalink]
20 Jun 2008, 09:24
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