There are 64 members in the history club. 11 less than half of the members are girls. How many membe

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There are 64 members in the history club. 11 less than half of the members are girls. How many members are boys?

Set up two equations where b = the number of boys and g = the number of girls

1. b + g = 64
2. 1/2(b + g) - 11 = g

Substitute (1) for b + g into (2)
1/2(64) - 11 = g
32 - 11 = g
g = 21

Substitute g = 21 into (1)
b + 21 = 64

Using our equation calculator, we get:
b = 43