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A classroom contained an equal number of boys and girls. Six girls left to play hockey leaving twice as many boys than girls in the classroom. What was the original number of students present

Question

A classroom contained an equal number of boys and girls. Six girls left to play hockey leaving twice as many boys than girls in the classroom. What was the original number of students present

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Solution

Let's denote the original number of boys and girls in the classroom as x.

Step 1: According to the problem, the classroom originally contained an equal number of boys and girls. So, the total number of students was 2x.

Step 2: Six girls left to play hockey, leaving x - 6 girls in the classroom.

Step 3: After the girls left, there were twice as many boys as girls in the classroom. So, the number of boys in the classroom was 2(x - 6).

Step 4: But we know that the number of boys in the classroom didn't change, so x = 2(x - 6).

Step 5: Solving this equation for x gives x = 12.

So, the original number of students in the classroom was 2x = 2*12 = 24.

This problem has been solved

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