Chapter 6.2, Problem 48STP

To determine

The number of girls more than boys in history class.

Answer to Problem 48STP

Option G. 8 is correct.

Explanation of Solution

Given:

In a history class, there are 32 students with the ratio of girls to boys as 5 to 3.

Calculation:

Let the number of girls in class be 5t and number of boys in class be 3t.

Therefore,

  $\begin{array}{l}5t+3t=32\\ 8t=32\\ t=\frac{32}{8}\\ t=4\end{array}$

So, the number of girls will be:

  $\begin{array}{l}=5\left(t\right)\\ =5\left(4\right)\\ =20\end{array}$

The number of boys will be:

  $\begin{array}{l}=3\left(t\right)\\ =3\left(4\right)\\ =12\end{array}$

Hence, there are 8 more girls in history class than the boys.

Option G. 8 is correct.