Answer:
Explanation:
AI-generated answer
To find the average score of the girls in the class, we can use the information given.
We know that there are 20 boys and 10 girls in the class. The average score of the entire class is 70, and the average score of the boys is 62.
To find the average score of the girls, we can use the concept of weighted averages. Since the average score of the entire class is 70, the total score of the class can be calculated by multiplying the average score by the number of students:
Total score of the class = Average score × Number of students
Total score of the class = 70 × (20 boys + 10 girls)
Total score of the class = 70 × 30
Total score of the class = 2100
We know that the total score of the class is 2100. Since the average score of the boys is 62, the total score of the boys can be calculated using the same formula:
Total score of the boys = Average score of the boys × Number of boys
Total score of the boys = 62 × 20
Total score of the boys = 1240
To find the total score of the girls, we subtract the total score of the boys from the total score of the class:
Total score of the girls = Total score of the class - Total score of the boys
Total score of the girls = 2100 - 1240
Total score of the girls = 860
Since there are 10 girls in the class, we can find the average score of the girls by dividing the total score of the girls by the number of girls:
Average score of the girls = Total score of the girls ÷ Number of girls
Average score of the girls = 860 ÷ 10
Average score of the girls = 86
Therefore, the average score of the girls in the class is 86.