Here's a question from one of the GMAT prep practice tests. Could someone kindly explain the answer?
On a certain sightseeing tour, the ratio of the number of women to the number of men is 5 to 2. What is the number of men on the tour?
1) The ratio of the number of men to the number of children is 5 to 11.
2) The number of women on the tour is less than 30.
The answer is C, both statements together are sufficient.
I thought it was E, none of the statements are sufficient as statement #2 does not even specifiy a unique value for the number of women. Please help, thanks!
GMAT Prep Ratio Question - Very puzzled
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stmt 1 - m:c = 5:11 but from the Q we can get that w:m = 5:2. now taking the ratio of all the three we get that wc = 25:10:22...This is still a ratio and so we can't get the number of men...So insuff
stmt 2 - w < 30 and w:m = 5:2 but number of women can be any multiple of 5 less than 30...so insuff
both - we know that wc = 25:10:22 and w<30...so w must be 25 which means that m=10 and c=22...So suff.....Ans is C
stmt 2 - w < 30 and w:m = 5:2 but number of women can be any multiple of 5 less than 30...so insuff
both - we know that wc = 25:10:22 and w<30...so w must be 25 which means that m=10 and c=22...So suff.....Ans is C
Trying hard!!!
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Thank you for your quick response JangoJess!
That is what I thought as well but I took it to a friend of mine who's really good at math who said it was still insufficient.
Is it right to say that given that the ratio of wc is 25:10:22, the number of woman can only be 25 because if it is any other multiple of 5 -20, 15, 10..etc, the number will not satisfy the entire ratio?
I.e. If we take the number of women to be 15, the number of men and children will not be an integer.
That is what I thought as well but I took it to a friend of mine who's really good at math who said it was still insufficient.
Is it right to say that given that the ratio of wc is 25:10:22, the number of woman can only be 25 because if it is any other multiple of 5 -20, 15, 10..etc, the number will not satisfy the entire ratio?
I.e. If we take the number of women to be 15, the number of men and children will not be an integer.