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
Step 1
that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball – That’s a ratio of 3:5. So, draw 3 boxes for soccer and 5 boxes for basketball.
Step 2
Since 90 boys enjoy soccer, divide 90 by 3 (the number of boxes drawn above for soccer) which is 30. So, each box represents 30 boys. Write 30 into each box.
Girls…
girls who enjoyed basketball of 7:1. …. Draw 7 boxes for soccer and 1 box for basketball
The ratio is 7:1. Remember, the same number of boys and girls were surveyed. And there are 8 girls in the ratio of 7:1. Notice, that 240 divided by 8 is 30.
Thus, 210 girls played soccer, and 30 girls played basketball. (The 210 comes from 30 x7, and 30 comes from (30 x 1).