Q11. - Algebra 2

Question

Six of the 13 members of a club are boys, and the rest are girls. What is the ratio of girls to boys in the club?

Step-by-Step Solution

Answer

The ratio of girls to boys in the club is $\frac{7}{6}$.

Step 1 – First find an equation to find the number of girls.

Total members in the club are 13.

In these 13 members, 6 are boys.

The sum of the number of girls and boys in the club must be equal to 13.

This can be mathematically expressed as $\text{girls}+\text{boys}=13$.

Step 2 – Find the number of girls in the club.

The number of boys is 6.

Substitute 6 for boys in $\text{girls}+\text{boys}=13$:

$\begin{array}{c}\text{girls}+\text{boys}=13\\ \text{girls}+6=13\\ \text{girls}=7\end{array}$

So, the number of girls in the 13 members club is 7.

Step 3 – Find the ratio of girls to boys in the club.

The ratio of girls to boys in the club will be $\frac{\text{number of girls}}{\text{number of boys}}$.

So, $\frac{\text{number of girls}}{\text{number of boys}}=\frac{7}{6}$.

Therefore, the ratio of girls to boys in the club is $\frac{7}{6}$.