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?
boys ... 90 / (3 + 5) = 240
girls equal boys
girls soccer ... 240 * 7 / (7 + 1) = ?
girls bb ... 240 * 1 / (7 + 1) = ?
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I just left and it was FULL! Lol
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Won
To solve this problem, we'll need to use ratios and proportions. Let's break down the information given and solve step by step.
1. We know that for every 3 boys who enjoy soccer, 5 boys enjoy basketball. This means that the ratio of boys who enjoy soccer to boys who enjoy basketball is 3:5.
So, let's calculate the number of boys who enjoy basketball:
Number of boys who enjoy basketball = (5/3) * Number of boys who enjoy soccer
Number of boys who enjoy basketball = (5/3) * 90 (since we are given that 90 boys enjoy soccer)
Number of boys who enjoy basketball = 150
2. We are also given that the ratio of the number of girls who enjoy soccer to the number of girls who enjoy basketball is 7:1. This means that the number of girls who enjoy soccer is seven times the number of girls who enjoy basketball.
So, let's calculate the number of girls who enjoy basketball:
Number of girls who enjoy basketball = 1/7 * Number of girls who enjoy soccer
Number of girls who enjoy basketball = 1/7 * Number of girls who enjoy soccer
3. We are told that the same number of boys and girls were surveyed, so the total number of boys and girls is the same.
Now, let's find the number of girls who enjoy soccer and basketball.
Let's assume the number of boys and girls surveyed is x.
Number of boys who enjoy soccer = 90 (given)
Number of boys who enjoy basketball = 150 (calculated above)
Number of girls who enjoy soccer = (7/3) * Number of boys who enjoy soccer (since boys and girls were surveyed in the same ratio)
= (7/3) * 90
= 210
Number of girls who enjoy basketball = 1/7 * Number of girls who enjoy soccer
= 1/7 * 210
= 30
So, in this survey, 210 girls enjoy soccer and 30 girls enjoy basketball.