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 determine how many boys are in the Mathematic Club, we can set up the problem using algebra.

Let:
- \( G \) be the number of girls in the club.
- \( B \) be the number of boys in the club.

Given:
- 35% of the pupils are girls, which means \( 0.35 \) of the total pupils are girls.
- There are 240 more boys than girls.

First, we can express the total number of pupils \( T \) in terms of \( G \):
\[ G = 0.35T \]

Since there are 240 more boys than girls:
\[ B = G + 240 \]

The total number of pupils is the sum of boys and girls:
\[ T = G + B \]

Now substitute \( B \) from the second equation into the total equation:
\[ T = G + (G + 240) \]
\[ T = 2G + 240 \]

Next, replace \( G \) with \( 0.35T \) in the above equation:
\[ T = 2(0.35T) + 240 \]
\[ T = 0.7T + 240 \]

Solving for \( T \):
\[ T - 0.7T = 240 \]
\[ 0.3T = 240 \]
\[ T = \frac{240}{0.3} \]
\[ T = 800 \]

So, the total number of pupils is 800. Now, we find the number of girls:
\[ G = 0.35T \]
\[ G = 0.35 \times 800 \]
\[ G = 280 \]

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

Therefore, there are 520 boys in the club.

Would you like more details or have any questions?

Here are some questions you might ask next:
1. How do you solve a quadratic equation?
2. What is the Pythagorean theorem?
3. How do you find the derivative of a function?
4. What is the integral of \( \sin(x) \)?
5. How do you solve a system of linear equations?

**Tip:** Always check your work by substituting your solution back into the original problem to ensure it fits all given conditions.

Learn how to solve a math problem where 35% of pupils in a club are girls, and there are 240 more boys than girls. Understand the steps involving percentages and algebraic equations to determine the number of boys in the club. Suitable for Grades 7-9.

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