A bag of marbles is divided among Alvin and Theodore in the ratio of 2:3. After Alvin gives 2 marbles to Theodore, the ratio becomes 3:5. Find the original number of marbles that was shared among the two friends.
a/t = 2/3 a = 2/3 t
(a-2 )/(t+2) = 3/5
a-2 = 3/5 (t+2) sub in the red equation
2/3t -2 = 3/5 (t+2) solve for t then you can solve for a = 2/3 t then add them together for the total