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.

1. y=7-x
2. x + y= 500
3. 120x + 35y= 500
4. (35+120) (x + y)= 500
5. 35x + 120y= 500

Check all that apply

Answer 1

The answer is the last one:
35x + 120y= 500

Always the last one! lol

Answer 2

Option 5th is correct

`35x+120y = 500`

Explanation:

Here, x represents only the clients that got a cut and y represent the clients that got a cut and color combo.

As per the statement:

Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo.

" Charges $35 for a cut" translated to 35x

"$120 for a cut and color combo" translated to 120y

It is also given that yesterday she had seven clients and earned $500.

⇒
`35x+120y = 500`

therefore, an equations could be used to represent this situation is,
`35x+120y = 500`