Anthony had twice as much money as Russell, but after Anthony gave $35 to Russell, Russell had 3 times as much money as Anthony. How much money did Russell have at the start?
Let A and R represent the amounts of money that Anthony and Russell, respectively, started with.
A = 2R and R + 35 = 3(A – 35) →
R + 35 = 3A – 105
R + 35 = 3(2R) – 105 = 6R – 105 → R = 6R – 140
5R = 140 → R = 28, and A = 56.
R + 35 = 3(2R) – 105 = 6R – 105 → R = 6R – 140
5R = 140 → R = 28, and A = 56.
Check:
28 + 35 ≟ 3(56 – 35)
63 = 3(21)
63 = 3(21)