to begin, A = 5/2 B
a boys joined A
32/4 = 8, so 8A boys joined the group.so, A = 1/8 A
b girls joined B
So, now there are
B+b = 1/3(9A) = 3A
5/2 A + b = 3A
b = 1/2 A
b = 1/2 * 1/8 A = a/16
A/4 = 3, so 3*32 = 96 boys joined A, making 1-8 boys in all
B+b = 108/3 = 36
so, 6 girls joined, or 96/16
sorry about the mistyped capitalization. The lines in error should read
a = 1/8 A
b = 1/2 * 1/8 a = a/16
and there are 108 boys at the end, not 1-8
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