Question

Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo. Yesterday she had seven clients and earned $500. Let x represent only the clients that got a cut and y represent the clients that got a cut and color combo.
Which of the following equations could be used to represent this situation.

y=7-x

x + y= 500

120x + 35y= 500

(35+120) (x + y)= 500

35x + 120y= 500

Answer 1

35x + 120x = 500
This is the correct equation because:
 x represents the clients that got a cut (at a cost of 35)
So the total profit she earned from just the cuts is 35 times the number of people for a cut
y represents the clients that got a cut and color (120)
So the total profit she earned from the cut/color is 120 times the # of people for cut/color
It is equal to $500 because thats how much Earyn earned!
I hope this helped