35% of pupils in a Mathematic Club are girls. There are 240 more boys than girls. How many boys are there in the club?

To solve the problem, let's denote the number of girls in the Mathematic Club by \( G \) and the number of boys by \( B \).

Given that 35% of the pupils are girls, we can write:
\[ G = 0.35 \times T \]
where \( T \) is the total number of pupils in the club.

We also know that there are 240 more boys than girls:
\[ B = G + 240 \]

Since the total number of pupils \( T \) is the sum of the number of girls and boys, we can express this as:
\[ T = G + B \]

Substituting \( G \) from the first equation into the second equation:
\[ T = 0.35T + B \]

Now substituting \( B \) from the second given condition:
\[ T = 0.35T + (G + 240) \]
\[ T = 0.35T + (0.35T + 240) \]
\[ T = 0.35T + 0.35T + 240 \]
\[ T = 0.70T + 240 \]

Now, isolate \( T \) by subtracting \( 0.70T \) from both sides:
\[ T - 0.70T = 240 \]
\[ 0.30T = 240 \]

Solving for \( T \):
\[ T = \frac{240}{0.30} \]
\[ T = 800 \]

Now we know the total number of pupils is 800. We can now find the number of girls:
\[ G = 0.35 \times 800 \]
\[ G = 280 \]

Finally, we can find the number of boys:
\[ B = G + 240 \]
\[ B = 280 + 240 \]
\[ B = 520 \]

Therefore, there are 520 boys in the club.

Would you like more details or have any questions? Here are some more questions you might be interested in:

1. What is the ratio of boys to girls in the club?
2. How many pupils are there in total in the club?
3. If 10 more girls joined the club, how would that affect the percentage of girls?
4. How many girls would there be if the club had an equal number of boys and girls?
5. What percentage of the club are boys?

**Tip:** When dealing with percentage problems, it's helpful to convert percentages to decimals to simplify calculations.

Learn how to solve the problem where 35% of pupils in a Mathematic Club are girls. Find out the total number of pupils, the number of girls, and how many boys are in the club with a step-by-step solution. Suitable for students in Grades 7-9.

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