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
HELP PLEASE !

Answer 1

X = y + 30 (I)

$\frac{x + 10}{y + 10} = \frac{3}{2}$ 

2x + 20 = 3y + 30
2x -  3y = 10 (II)
______________________________
2(y+30) - 3y = 10
2y + 60 - 3y = 10
-y = -50
y = 50

x = y + 30
x = 50 + 30
x = 80

Football team has 80 members, basketball team has 50 members.