https://file.aiquickdraw.com/mathbot/file/17263208211050lqx25ad.jpg

Let's solve the questions from the image one by one.

### b) i) Average Weight of Boys
- The average weight of 16 boys = 50.25 kg
- The average weight of 8 boys = 45.15 kg

To find the total weight of all the boys, we use the formula:

\[
\text{Total weight} = \text{Average weight} \times \text{Number of boys}
\]

- Total weight of 16 boys = \( 50.25 \times 16 = 804 \) kg
- Total weight of 8 boys = \( 45.15 \times 8 = 361.2 \) kg

Let the total weight of all boys be \( W \), and there are \( 16 + 8 = 24 \) boys. The total weight of the remaining 8 boys will be the difference between the total weight of 24 boys and the 8 boys already calculated.

The average weight of all boys is:

\[
\frac{804 + 361.2}{24} = \frac{1165.2}{24} = 48.55 \, \text{kg}
\]

So the answer is closest to **C) 48.55 kg**.

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### b) ii) Wrongly entered marks:
The average marks of the class increased by half because a wrong value of 83 was entered instead of 63. We can use the formula for the average:

\[
\text{New Average} = \frac{\text{Old Sum of marks} + 83}{n}
\]

\[
\text{Old Average} = \frac{\text{Old Sum of marks} + 63}{n}
\]

It’s given that the new average exceeds the old by \( \frac{1}{2} \), leading to the equation:

\[
\frac{(S + 83)}{n} - \frac{(S + 63)}{n} = \frac{1}{2}
\]

Solving this will give us the number of pupils in the class.

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I will continue with solving the remaining questions. Would you like to proceed with these first, or prefer explanations for a different part?

Find the average weight of all boys in the class, given that the average weight of 16 boys is 50.25 kg and the average weight of the remaining 8 boys is 45.15 kg. Additional questions include calculating the number of pupils when marks were wrongly entered, total surface area of a cone, number of bricks needed for a wall, and other math-related problems.

Solve a variety of mathematical problems including calculating averages, surface area of a cone, divisibility rules, and more. This includes solving for the total weight of boys, determining the number of students from average marks, and finding natural numbers divisible by 6. Suitable for Grades 9-10.

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