Q8. - Algebra 2

Question

The ratio of girls to boys in a class is 5 to 4. If there are total of 27 students in the class, state how many are girls.

 

A. 15                                 B. 12

 

C. 9                           D. 5

Step-by-Step Solution

Answer

Number of girls in the class is 15 and the correct option is A.

Step 1 - State the definition of a variable.

A variable is a term that is used to represent an unknown value.

Step 2 - Obtain the number of girls in the class.

The ration of girls toboys is 5 to 4.

The total ratio is:

$5+4=9$

Total number of students in the class is 27.

Then, number of girls in class is:

$\begin{array}{c}\text{Number of girls}=\frac{\text{Ratio of girls in the class}}{\text{Total ratio}}\times 27\\ \frac{5}{9}\times 27\\ =5\times 3\\ =15\end{array}$

Step 3 - State the conclusion.

Number of girls in the class is 15. Therefore, option A is correct.