Question

Mei is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 5 clients, charging a total of $472. Today, she did 4 haircuts and colored the hair of 5 clients, charging a total of $506. How much does Mei charge for a haircut?

Answer 1

The money that Mei charge for a haircut is $34

Explanation:

Given as :

The number of haircut done yesterday = 3

The number of colored the hair done yesterday = 5

The total cost charging yesterday = $472

Again

The number of haircut done today = 4

The number of colored the hair done today = 5

The total cost charging today = $506

Let The cost of each hair cut = x

And The cost of each colored hair = y

Now, According to question

3 x + 5 y = $472 .............A

4 x + 5 y = $506 ............B

Now, Solving equation A and B

(4 x + 5 y) - (3 x + 5 y) = $506 - $472

Or, (4 x - 3 x) + (5 y - 5 y) = $34

Or, x + 0 = $34

so, The cost of each hair cut = x = $34

Hence, The money that Mei charge for a haircut is $34 . Answer