Asked by tante

the ratio of boys to girls in the gym is 7:5. when 6 more girls enter the gym, the ratio of boys to girls becomes even. how many boys and girls now in the gym?
Answered by Dan
21 boys, 21 girls.

7:5 - 6 girsl is 21 boys to 15 girls [think -6]
Answered by Reiny
Don't know what you mean by an "even" ratio.
If the two terms are even, they we divide by at least 2, until one of them or both are odd.
A ratio with both terms even is not in lowest terms,
just like a fraction can be reduced if both numerator or denominator are even.



original:
boys -- 7x
girls --- 5x

6 more girls ---
boys = 7x
girls = 5x+6

new ratio = 7x : (5x+6)
let x=2, ratio is 14:16 which is "even", but becomes 7 : 8
let x=3, ratio is 21 : 21 = 1 : 1
let x=4, ratio is 28 : 26 = 14 : 13
Perhaps you consider the last one an "even" ratio

so there were 28 boys and 20 girls
and now we have 28 boys and 26 girls
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