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) .

Answer 1

The ratio of girls to boys is 3 to 1, which means for every 3 girls, there is 1 boy.

Let \( G \) be the number of girls and \( B \) be the number of boys. According to the ratio, we can set up the relationship:

\[
\frac{G}{B} = \frac{3}{1}
\]

From this, we know that:

\[
G = 3B
\]

The total number of students is given as 400:

\[
G + B = 400
\]

Now, substituting \( G \) from the first equation into the second equation:

\[
3B + B = 400
\]

This simplifies to:

\[
4B = 400
\]

Now, divide both sides by 4:

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

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