In a camp, the number of children is $\frac{3}{8}$ of the number of adults. $\frac{2}{9}$ of the children are boys and there is an equal number of men and women. What is the ratio of the number of girls to the number of women? Ans: ___

1. Express the ratio of children to adults using a common multiple

The ratio of children to adults is $3 : 8$.
Since $\frac{2}{9}$ of the children are boys, we make the number of units for children a multiple of $9$.
$\text{Children} : \text{Adults} = 3 : 8 = 9 : 24$

2. Find the number of units for girls

Number of units for children = $9$
Number of units for boys = $\frac{2}{9} \times 9 = 2$
Number of units for girls = $9 - 2 = 7$

3. Find the number of units for women

Number of units for adults = $24$
Since there is an equal number of men and women:
Number of units for women = $24 \div 2 = 12$

4. Find the ratio of girls to women

$\text{Girls} : \text{Women} = 7 : 12$