Jenna offers regular haircuts for $25 and haircuts plus coloring for $42.This weekend had a total of 24 clients and Jenna earned earned $736.How many regular and color hair cuts did she do that weekend?
Accepted Solution
A:
Answer: Jenna did 16 regular haircuts Jenna did 8 haircuts with coloring
Explanation: Assume that the number of regular haircuts is x and the number of haircuts plus coloring is y
We are given that: 1- Jenna did a total of 24 clients, this means that: x + y = 24 This can be rewritten as: x = 24 - y ...............> equation I
2- regular haircuts cost $25, haircuts plus coloring cost $42 and she earned a total of $736. This means that: 25x + 42y = 736 ..........> equation II
Substitute with equation I in equation II and solve for y as follows: 25x + 42y = 736 25(24-y) + 42y = 736 600 - 25y + 42y = 736 17y = 136 y = 8
Substitute with y in equation I to get x as follows: x = 24 - y x = 24 - 8 x = 16
Based on the above: Jenna did 16 regular haircuts Jenna did 8 haircuts with coloring