Question

A club has 86 members, and there are 14 more girls than boys. how many boys and how many girls are members of the club?

Answer 1

x = boy count
x + 14 = girl count

x +x +14 = 86
2x + 14 = 86
2x = 72
x = 36
x + 14 = 50

There are 36 boys and 50 girls. Hope this helps!

Answer 2

The number of boys in the club are 36 and the number of girls are 50.

• Let the number of boys be B.

• Let the number of girls be G.

Given the following data:

• Total members = 86 members

To determine how many boys and how many girls are members of the club:

Translating the word problem into an algebraic expression, we have;

There are 14 more girls than boys:

$G = 14 + B$   .....equation 1.

Total members:

$B+G=86$   .....equation 2.

Substituting eqn. 1 into eqn. 2, we have:

$14+B+B=86\\14+2B=86\\\\2B=86-14\\\\2B=72\\\\B=\frac{72}{2}$

B = 36 boys.

For girls:

$G = 14 + B\\\\G=14+36\\\\G=50$

G = 50 girls.

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