In a classroom, 40% of the students are male. If 25% of the female students are absent, only 27 female students are present. What is the total number of students in the classroom?

1. Problem Description

In a classroom, 40% of the students are male. If 25% of the female students are absent, only 27 female students are present. What is the total number of students in the classroom?

2. Solution Steps

Let $T$ be the total number of students in the classroom.

Let $M$ be the number of male students.

Let $F$ be the number of female students.

We are given that 40% of the students are male, so $M = 0.4T$.

Therefore, the number of female students is $F = T - M = T - 0.4T = 0.6T$.

We are also given that 25% of the female students are absent. This means that 75% of the female students are present.

So, $0.75F = 27$.

Substituting $F = 0.6T$, we have $0.75(0.6T) = 27$.

$0.45T = 27$.

$T = \frac{27}{0.45} = \frac{2700}{45} = \frac{900}{15} = 60$.

The total number of students is

6

0. The number of male students is $M = 0.4 \times 60 = 24$.

The number of female students is $F = 0.6 \times 60 = 36$.

If 25% of the female students are absent, then $0.25 \times 36 = 9$ are absent.

So, $36 - 9 = 27$ female students are present.

3. Final Answer

The total number of students in the classroom is

6

0. Final Answer: A) 60