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
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x = y + 30 (I)[tex] \frac{x + 10}{y + 10} = \frac{3}{2} [/tex] 2x + 20 = 3y + 302x -  3y = 10 (II)______________________________2(y+30) - 3y = 102y + 60 - 3y = 10-y = -50y = 50x = y + 30x = 50 + 30x = 80Football team has 80 members, basketball team has 50 members.