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?

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}

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 $9.50Hilary has $13.50

Jeff has $9.50

*- Algebra House*