Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services? PLEASE ANSWER

Answer 1

Cost of haircut = $93

Cost of colouring hair = $31

Explanation:

Let

Cost of haircut = x

Cost of colouring hair = y

The equations

x + 2y = 217 (1)

2x + y = 155 (2)

From (1)

x = 217 - 2y

Substitute x = 217 - 2y into (2)

2x + y = 155

2(217 - 2y) + y = 155

434 - 4y + y = 155

-3y = 155 - 434

-3y = -279

y = -279 / -3

= 93

y = $93

Substitute y = 93 into (1)

x + 2y = 217

x + 2(93) = 217

x + 186 = 217

x = 217 - 186

= 31

x = $31

Cost of haircut = $93

Cost of colouring hair = $31