How many boys give their left hand to a girl?

40 boys and 28 girls stand in a circle, hand in hand. Exactly 18 boys give their right hand to a girl. How many boys give their left hand to a girl?

9 14 18 20 28

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1 solution

Pop Wong
Mar 11, 2021

In such arrangement, the boys and girls hold their hands (right hand to other's left hand) or (left hand to other's right hand).

Exactly, 18 18 boys' right hands are holding 18 girls left hands

40 18 = 22 \implies 40-18=22 boys' right hands are holding 22 b o y s \textcolor{#3D99F6}{22 boys'} left hands

22 b o y s \implies \textcolor{#3D99F6}{22 boys'} left hands are holding 22 22 boys' right hands

40 22 = 18 \implies 40-22=18 boys' left hands are holding girls.

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