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 spok
90 boys like soccer, so 150 boys like basketball
Assuming those were the only two sports in the survey, that means 240 boys were surveyed.
So, 240 girls were surveyed. That means 210 liked soccer and 30 liked basketball.
30 girls liked basketball
210 girls liked soccer
30 liked basketball
To find out how many girls enjoy each sport, we need to determine the ratio of the number of girls who enjoy soccer to the number of girls who enjoy basketball.
Given that the ratio of boys who enjoy soccer to boys who enjoy basketball is 3:5, and we know that 90 boys enjoy soccer, we can set up the following equation:
(boys who enjoy soccer)/(boys who enjoy basketball) = 3/5
Let's find the number of boys who enjoy basketball using this equation:
Number of boys who enjoy basketball = (3/5) * 90
Number of boys who enjoy basketball = 54
Since the same number of boys and girls were surveyed, and 90 boys enjoy soccer, we can assume there are 90 girls in total.
The ratio of girls who enjoy soccer to girls who enjoy basketball is given as 7:1. To find the actual number of girls who enjoy each sport, we can use this ratio:
Number of girls who enjoy soccer = (7/8) * 90
Number of girls who enjoy soccer = 63
Number of girls who enjoy basketball = (1/8) * 90
Number of girls who enjoy basketball = 11.25
Since we can't have a fraction of a person, we need to round the decimal number. Rounding 11.25 to the nearest whole number, we get 11.
So, the number of girls who enjoy soccer is 63, and the number of girls who enjoy basketball is 11.
90 boys like soccer, so 150 boys like basketball
Assuming those were the only two sports in the survey, that means 240 boys were surveyed.
So, 240 girls were surveyed. That means 210 liked soccer and 30 liked basketball.