Question

12. If 48% of the students in a certain college are female and there are 2400 female students, how manymales are at the college?

Answer 1

We are given the following information;

Female students = 2,400

Percentage of female students = 48%

Since we know the number of female students and also the percentage of female students, then we can as well say that the total number of students is 100%. However, the actual total number of students is unknown.

Nevertheless, we can set up an equation that would relate the total number of students to the number of female students.

Let us represent the total number of students by the letter x. We shall now have;

`\begin{gathered} 48\%=2400 \\ 100\%=x \end{gathered}`

Therefore;

`(48)/(100)=(2400)/(x)`

We will cross multiply and that gives us the following;

`\begin{gathered} 48x=2400*100 \\ x=(240000)/(48) \\ x=5000 \end{gathered}`

This means the total number of students at the college is 5,000. With the number of female students given as 2,400, the number of males would be

`\begin{gathered} \text{Males}=\text{Total}-\text{Female} \\ \text{Males}=5000-2400 \\ \text{Males}=2600 \end{gathered}`

ANSWER:

Males = 2600