Question

Question
Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an average of 12 paintings.

What is the average number of paintings made by children at the art camp?

Enter your answer in the box.

Answer 1

To find the average number of paintings made by all children at the art camp, we start by calculating the total number of paintings made by the two groups of children.

1. For the first group of 7 children, each of them makes an average of 8 paintings:
\[
\text{Total paintings by first group} = 7 \times 8 = 56
\]

2. For the second group of 3 children (since there are 10 children in total and 7 are in the first group), each of them makes an average of 12 paintings:
\[
\text{Total paintings by second group} = 3 \times 12 = 36
\]

3. Now, we can find the total number of paintings made by all the children:
\[
\text{Total paintings} = 56 + 36 = 92
\]

4. To find the average number of paintings per child, we divide the total number of paintings by the total number of children:
\[
\text{Average number of paintings} = \frac{92}{10} = 9.2
\]

Therefore, the average number of paintings made by children at the art camp is \( \boxed{9.2} \).