Question

He 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 member are in each Group? Write your answer as football x basketball y

Answer 1

We know that x = 30 + y, because the problem says that there are 30 more football players than basketball players.

Each group has 10 more members added: x + 10 and y + 10. We can write x + 10 as 30 + y + 10 or 40 + y.

The ratio (40 + y)/(y + 10) = 3/2. You can cross multiply to get:

80 + 2y = 3y + 30

Combine like terms to get:

y = 50 members on the basketball team. Since there are 30 more members on the football team, you just add 30 to 50 to get x = 80 members on the football team.