SOLUTION: In a club, the ratio of boys to girls is 7:8. The ratio of one less than the number of girls to the total number of members is 1:2. How many boys and how many girls are in the club

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Question 24505: In a club, the ratio of boys to girls is 7:8. The ratio of one less than the number of girls to the total number of members is 1:2. How many boys and how many girls are in the club?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If ratio of boys to girls is 7:8, there are "7x" boys to "8x" girls.
The total number in the group is therefore 15x.
If the ratio of one less girl (8x-1) to total number of members (15x)
is 1:2 you get the following equations:
(8x-1)/15x=1/2
16x-2 = 15x
x=2
7x=14 (number of boys)
8x=16 (number of girls)
Cheers,
Stan H.


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