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Natalka [10]
3 years ago
10

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?
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0
<u><em>Answer:</em></u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

<u><em>Explanation:</em></u>
Assume that the number of regular haircuts is x and the number of haircuts plus coloring is y

<u>We are given that:</u>
<u>1- Jenna did a total of 24 clients, this means that:</u>
x + y = 24
This can be rewritten as:
x = 24 - y ...............> equation I

<u>2- regular haircuts cost $25, haircuts plus coloring cost $42 and she earned a total of $736. This means that:</u>
25x + 42y = 736 ..........> equation II

<u>Substitute with equation I in equation II and solve for y as follows:</u>
25x + 42y = 736
25(24-y) + 42y = 736
600 - 25y + 42y = 736
17y = 136
y = 8

<u>Substitute with y in equation I to get x as follows:</u>
x = 24 - y
x = 24 - 8
x = 16

<u>Based on the above:</u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

Hope this helps :)
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