Question

In wonderful primary school there were 3000 pupils. There were 250 more girls than boys in the school. How many percent of the pupils were boys?

Answer 1

Let the number of boys in the school be \( b \). According to the problem, there are 250 more girls than boys, so the number of girls can be expressed as \( b + 250 \).

The total number of pupils in the school is given as 3000. Therefore, we have the equation:

\[
b + (b + 250) = 3000
\]

Simplifying this equation:

\[
2b + 250 = 3000
\]

Subtracting 250 from both sides gives:

\[
2b = 2750
\]

Now, dividing both sides by 2:

\[
b = 1375
\]

So, the number of boys is 1375. Now we can find the number of girls:

\[
g = b + 250 = 1375 + 250 = 1625
\]

Next, we need to find the percentage of pupils that are boys. The percentage can be calculated using the formula:

\[
\text{Percentage of boys} = \left( \frac{\text{Number of boys}}{\text{Total number of pupils}} \right) \times 100
\]

Substituting the values:

\[
\text{Percentage of boys} = \left( \frac{1375}{3000} \right) \times 100
\]

Calculating the fraction:

\[
\frac{1375}{3000} = 0.4583333
\]

Now, multiplying by 100 to convert to percentage:

\[
0.4583333 \times 100 \approx 45.83
\]

Therefore, the percentage of pupils that are boys is approximately:

\[
\boxed{45.83\%}
\]