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

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

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

2. Find the number of units representing girls

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

3. Find the number of units representing women

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

4. Find the ratio of the number of girls to the number of women

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