# Chapter 6 - Systems of Equations and Inequalities - Chapter Review - Page 409: 18

Owner charges $55 per haircut. #### Work Step by Step Use the information given to make two equations:x=a+20 and 12a+6x=750.Solve for X to find the price per haircut: 12a+6(a+20)=750 -plug in the first equation into the second- 12+6a+120=750 -distribute- 18a+120=750 -simplify like terms- 18a=630 -subtract 120 from both sides- a=35 Plug in a=35 into one of the equations: x=35+20 x=55 Each haircut is$55.

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