The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membership would be 3.2. How many members are in each group? Write your answer as football x basketball y
Let x be the number of members on the football team.
Let y be the number of members on the basketball team.
equation 1: y = x - 30
equation 2: (x + 10) / (y + 10) = 3 / 2
2 * (x+10) = 3 * (y+10)
Let's replace y with x - 30.
2 * (x+10) = 3 * (x - 30 + 10)
2x + 20 = 3x - 60
x = 80
y = x - 30 = 80 - 30 = 50
The football team has 80 members.
The basketball team has 50 members.
