Tracy is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $191. Today, she did 5 haircuts and colored the hair of 2 clients, charging a total of $355. How much does Tracy charge for her services?
Accepted Solution
A:
x= $ cost of haircut y= $ cost of hair coloring
Yesterday's Equation 1x + 2y= $191
Today's Equation 5x + 2y= $355
Solve for one variable in either equation and substitute in other equation
x + 2y= $191 subtract 2y from both sides x= 191 - 2y
Substitute x value in today's equation 5x + 2y= $355 5(191 - 2y) + 2y= 355 multiply 5 by all in parentheses (5*191) + (5*-2y) + 2y= 355 955 - 10y + 2y= 355 955 - 8y= 355 subtract 955 from both sides -8y= -600 divide both sides by -8 y= $75 cost of hair coloring
Substitute y value to find x value 1x + 2y= $191 x + 2(75)= 191 x + 150= 191 subtract 150 from both sides x= $41 cost of haircut
ANSWER: She charges $41 for a haircut and $75 for hair coloring.