+108 Jack had 4 times as much money as Tom. Kenny had $240 more than Jack. After Kenny gave $300 to Jack and $80 to Tom, Jack will have twice as much money as Kenny. How much money did Tom have in the end?
x = Tom’s money originally
4x = Jack’s money originally
4x + 240 = Kenny’s money originally
x + 80 = Tom’s money now
4x + 300 = Jack’s money now
4x + 240 - 300 - 80 = Kenny’s money now
Jack has twice as much money as Kenny now can be expressed by the equation
4x + 300 = 2 (4x + 240 - 300 - 80)
4x + 300 = 2 (4x - 140)
4x + 300 = 8x - 280
4x = 8x - 580
-4x = -580
x = 145
Tom’s money now is x + 80 = 145 + 80 = 225.
