SOLUTION: In a club there are 90 members.40% are boys.After some time the boys percentage decreased to 28%.calculate how many boys left the club?

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Question 1117553: In a club there are 90 members.40% are boys.After some time the boys percentage decreased to 28%.calculate how many boys left the club?
Answer by ikleyn(52928) About Me  (Show Source):
You can put this solution on YOUR website!
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I will assume that some boys left the club, but the number of girls remained the same.


40% of 90 is  0.4*90 = 36;  so the number of boys initially in the club was 36.


Let x be the number of boys who left the club.


Then the decreased population of the club became  90-x, and there are 36-x boys now.


The condition says  %2836-x%29%2F%2890-x%29 = 0.28,   or


36-x = 0.28*(90-x) 

36-x = 25.2 - 0.28x

36 - 25.2 = x - 0.28

10.8 = 0.72x  ====>  x = 10.8%2F0.72 = 15.


Answer.  15 boys left the club.