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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?

 Sep 13, 2021
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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.

 Sep 18, 2021

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