SOLUTION: A country club has 1150 members. 1/5 of the men and 1/4 of the women do not play golf. a total of 250 members do not play golf. How many men play golf?

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Question 823777: A country club has 1150 members. 1/5 of the men and 1/4 of the women do not play golf. a total of 250 members do not play golf. How many men play golf?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The members are either men or women.
Let +x+ = the number of men
+1150+-+x+ = the number of women
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I can say:
+%281%2F5%29%2Ax+%2B+%281%2F4%29%2A%281150+-+x%29+=+250+
Multiply both sides by +20+
+4x+%2B+5%2A%28+1150+-+x+%29+=+5000+
+4x+%2B+5750+-+5x+=+5000+
+-x+=+-750+
+x+=+750+
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+%281%2F5%29%2Ax+ is the number of men
who do not play golf
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+%284%2F5%29%2Ax+ is the number of men
who play golf
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+%284%2F5%29%2A750+=+600+
600 men play golf
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check:
+%281%2F5%29%2Ax+%2B+%281%2F4%29%2A%281150+-+x%29+=+250+
+%281%2F5%29%2A750+%2B+%281%2F4%29%2A%281150+-+750%29+=+250+
+150+%2B+%281%2F4%29%2A400+=+250+
+150+%2B+100+=+250+
+250+=+250+
OK