在一个营地中，儿童的人数是成人人数的 $\frac{3}{8}$。儿童中有 $\frac{2}{9}$ 是男孩，且男人和女人的数量相等。女孩人数与女人人数的比是多少？ 答：___

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

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