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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?

Respuesta :

Louli
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

Hope this helps :)

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