Cost of Jacket and Pants Word Problem

A jacket costs 4 times as much as a pair of pants.  Together they are $75.  How much does each item cost?

x = price of pants
4x = price of jacket   {a jacket costs four times the pants} 

x + 4x = 75   {together they cost $75}
5x = 75   {combined like terms}
x = 15   {divided each side by 5}
4x = 60   {substituted 15, in for x, into 4x} 

pants cost $15
jacket costs $60


- Algebra House