the ratio of boys to girls is 3:2. If there are 24 boys in the class, how many girls are there?
MathBot Answer:
Given:\[\begin{aligned}\text{num boys} : \text{num girls} = 3 : 2\end{aligned}\]It follows:\[\begin{aligned}\frac{\text{num boys}}{\text{num girls}} = \frac{3}{2}\end{aligned}\]If there are 24 boys, then:\[\begin{aligned}\frac{\text{num girls}}{24} = \frac{2}{3}\end{aligned}\]Therefore:\[\begin{aligned}\text{num girls} = \frac{2}{3} \times 24 = 16\end{aligned}\]