Final answer:
The calculation involves finding the weighted average weight of the class by using the percentages of girls and boys, and then multiplying this average by 10. The final answer is 1295 pounds, which is 10 times the average weight of the children in the class.
Step-by-step explanation:
To find 10 times the average weight of the children in a class with 35% girls and 65% boys (since 100% - 35% = 65%), where the average weight of girls is 110 pounds and the average weight of boys is 140 pounds, you can use a weighted average calculation followed by multiplying the result by 10.
First, establish the decimal representation of the percentages for girls and boys, which are 0.35 and 0.65, respectively. Then, multiply each group's average weight by its decimal percentage and add the two products together to find the total average weight of all children in the class:
- Weighted average for girls = 0.35 × 110 = 38.5 pounds
- Weighted average for boys = 0.65 × 140 = 91 pounds
Add these values to obtain the overall average weight:
Total average weight = 38.5 + 91 = 129.5 pounds
Finally, multiply this average by 10 to find 10 times the average weight:
10 × Total average weight = 10 × 129.5 = 1295 pounds