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15 Sep 2011, 06:43
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At a college party, 70% of the women are wearing red t-shirts. If 60% of the people at the party are wearing red t-shirts, what is the ratio of women to men at the party?
1) Forty percent of the men at the party are wearing red t-shirts.
2) There are 120 people at the party.
1) Forty percent of the men at the party are wearing red t-shirts.
2) There are 120 people at the party.
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15 Sep 2011, 07:30
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IMO A
from the question:
0.7W = number of women wearing red t-shirts (w = # of women)
0.6P = number of people at the party are wearing red t-shirts (P = # of people)
P = W + M (m = # of men)
1) 40% of the men at the party are wearing red t-shirts
therefore
0.7W + 0.4M = 0.6P
=> 0.7W+0.4M = 0.6M+0.6W
=> 0.1W = 0.2M
=> W/M = 2
Sufficient
2) Here we have the total number of people. So in total we know # of people in red t-shirts but we don't have % of men in red t-shirts hence Not sufficient.
from the question:
0.7W = number of women wearing red t-shirts (w = # of women)
0.6P = number of people at the party are wearing red t-shirts (P = # of people)
P = W + M (m = # of men)
1) 40% of the men at the party are wearing red t-shirts
therefore
0.7W + 0.4M = 0.6P
=> 0.7W+0.4M = 0.6M+0.6W
=> 0.1W = 0.2M
=> W/M = 2
Sufficient
2) Here we have the total number of people. So in total we know # of people in red t-shirts but we don't have % of men in red t-shirts hence Not sufficient.
15 Sep 2011, 16:25
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(70W)/100 = Red Women = RW --------equation 1
(60Total)/100 = RM + RW ------------ equation 2
substituting 1 into 2, we have
(60Total)/100 = RM + (70W)/100
=> 60M/100 + 60W/100 = RM + 70W/100
=> 60W/100 = RM +10M/100-----equation 3
W/M = ?
1. Sufficient
40M/100 = RM
substituting this into 3 , we can find out W/M
2. Not sufficient
Total = 120
But we dont know anything about M or W or RM. So not enough.
Answer is A.
(60Total)/100 = RM + RW ------------ equation 2
substituting 1 into 2, we have
(60Total)/100 = RM + (70W)/100
=> 60M/100 + 60W/100 = RM + 70W/100
=> 60W/100 = RM +10M/100-----equation 3
W/M = ?
1. Sufficient
40M/100 = RM
substituting this into 3 , we can find out W/M
2. Not sufficient
Total = 120
But we dont know anything about M or W or RM. So not enough.
Answer is A.
