Question

The ratio of girls to boys in the school is 3 to 1 if there is a total 400 students how many are boys the answer must be a whole number

Answer 1

Let's denote the number of girls as \( G \) and the number of boys as \( B \). According to the problem, the ratio of girls to boys is \( 3:1 \). This means:

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

From this, we can express the number of girls in terms of the number of boys:

\[
G = 3B
\]

The total number of students is given as 400, so we can express this as:

\[
G + B = 400
\]

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

\[
3B + B = 400
\]

This simplifies to:

\[
4B = 400
\]

Now, divide both sides by 4:

\[
B = 100
\]

So there are **100 boys** in the school.

To find the number of girls, we can substitute \( B \) back into the equation \( G = 3B \):

\[
G = 3 \times 100 = 300
\]

Thus, the results confirm that the total number of students is \( G + B = 300 + 100 = 400 \).

The number of boys is **100**.