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} Paul has $4.50 Hilary has $13.50 Jeff has $9.50 - Algebra House
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