Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boy survey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7: 1. If the same number of boys and girls were surveyed, and 90 boys enjoy soccer, how many girls enjoy each sport?

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

correct answer:

b.(19,-2)