SOLUTION: Hilary has three times as much money as Paul. Jeff has $4 dollars less than Hilary and $5 more than Paul. How much does each have? Thank you.

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Question 815442: Hilary has three times as much money as Paul. Jeff has $4 dollars less than Hilary and $5 more than Paul. How much does each have?
Thank you.

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = amount Paul has
3x = amount Hilary has {Hillary has three times Paul}
3x - 4 = Jeff's amount {Jeff has 4 less than Hilary}
x + 5 = Jeff's amount {Jeff has 5 more than Paul}

3x - 4 = x + 5 {Jeff's two amounts are equal to each other}
3x = x + 9 {added 4 to each side}
2x = 9 {subtracted x from each side}
x = 4.5 {divided each side by 2}

3x = 13.5 {substituted 4.5, in for x, into 3x}
x + 5 = 9.5 {substituted 4.5, in for x, into x + 5}

Paul has $4.50
Hilary has $13.50
Jeff has $9.50

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