SOLUTION: A newspaper poll of 400 people stated that 58% were in favor of a recycling program. It also said that 50% of the men and 70% of the women polled favored the program. How many wome

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Question 850363: A newspaper poll of 400 people stated that 58% were in favor of a recycling program. It also said that 50% of the men and 70% of the women polled favored the program. How many women were polled?
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
Total people favored recycling program was 58% = 400 *58/100 = 232
and the remaining are 400-232 = 168
Given that 50% of men and 70% of woman favored the poll
50/100men + 70/100 women = 232
5m + 7w = 2320 -----1
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then the remaining are 50% of men and 30% of woman who did not favor the poll
50/100men + 30/100 women = 168
5m+ 3 w = 1680 ----2

Solving equation 1 and 2 we have
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5m+7w= 2320
5m+3w= 1680
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4w= 640
W = 160
Therefore there are 160 women were polled