Question

The ratio of girls to boys in the school is 3 to 1. If there is a total of 400 students, how many are boys? The answer must be a whole number.(1 point)

1 answer

Let the number of girls be represented as \(3x\) and the number of boys as \(x\), based on the given ratio of 3 to 1.

According to the problem, the total number of students is:

\[ 3x + x = 4x \]

We know that the total number of students is 400:

\[ 4x = 400 \]

To solve for \(x\), we divide both sides by 4:

\[ x = \frac{400}{4} = 100 \]

Now, since \(x\) represents the number of boys, we find:

\[ \text{Number of boys} = x = 100 \]

Thus, the number of boys in the school is \(\boxed{100}\).