Question

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

Answer 1

let basketball team has x members

than football team has x +30members

if 10 more members, the ratio of their membership would be 3:2

that is x+30 +10 / (x +10) = 3/2

x+40/(x+10) = 3/2

2(X+40) = 3(x+10)

2x + 80 = 3x + 30

x = 50

basketball team has 50 members

and football team has 50 + 30 = 80 members