SOLUTION: A mathematics club consists of 40 members. 70% of the members are girls. After some members joined the club, 60% of the members are girls. If the new members consist of 6 more boys

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Question 1054850: A mathematics club consists of 40 members. 70% of the members are girls. After some members joined the club, 60% of the members are girls. If the new members consist of 6 more boys than girls, how many members in total are boys?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
40 members: 70% of the members are girls
28 Girls and 12 Boys
|60% = 60/100 = 6/10 = 3/5
%2828%2Bx%29%2F%2840+%2B+x+%2B+%28x%2B6%29%29+=+3%2F5
%2828%2Bx%29%2F%2846+%2B+2x%29+=+3%2F5 | Cross Multiplying to solve
3(46+2x) = 5(28+x)
138 + 6x = 140 + 5x
x = 2 girls added AND 8 boys added 2%2B6
18 12%2B6 in total are boys
checking
30girls/50total = 60/100 0r 60% girls CHECKS!