Boys and girls

If the ratio of male & female teachers is 2/5 & it is in proportion of the male & female students, how many are girls if there are 42 boys?

Correct answer:

g =  30

Step-by-step explanation:

$$\begin{gathered} b:g=2:5 \\ b+g=42 \\ g\cdot {\displaystyle \frac{2}{5}}+g=42 \\ g={\displaystyle \frac{42}{1+{\displaystyle \frac{2}{5}}}}=30 \end{gathered}$$

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