SOLUTION: Hi The ratio of men to women was 2:3.1/4 of the men and 1/2 of the women left the club. The number of people who remained was 24 more than the number who left. How many people wer

Question 1105761: Hi
The ratio of men to women was 2:3.1/4 of the men and 1/2 of the women left the club. The number of people who remained was 24 more than the number who left. How many people were in the club at first.
my answer is 240 the textbook says 120
thanks
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2x:3x is also the ratio.
when a quarter of the men leave, 1.5x remain
when half the women leave, 1.5x women remain.
The total at the beginning was 5x; at the end 3x
2x left, so 3x-24=2x
x=24
Men are 48, women are 72
adds to 120.
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