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 the children at the art camp, we start by calculating the total number of paintings made by each group of children.

1. **Calculating total paintings made by the first group (7 children)**:
- Each of the 7 children makes an average of 8 paintings.
- Total paintings by this group = \( 7 \times 8 = 56 \) paintings.

2. **Calculating total paintings made by the second group (3 children)**:
- The remaining 3 children make an average of 12 paintings.
- Total paintings by this group = \( 3 \times 12 = 36 \) paintings.

3. **Calculating the overall total number of paintings**:
- Total number of paintings made by all children = \( 56 + 36 = 92 \) paintings.

4. **Calculating the average number of paintings for all children**:
- There are a total of 10 children at the art camp.
- Average number of paintings per child = \( \frac{92}{10} = 9.2 \).

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