Real life example substitution

Question

The owner of a hair salon charges $20 more Per haircut than the assistant. Yesterday the assistant gave 12 hair cuts, and the owner gave 6. The total earnings for the day were $750. How much does the owner charge for a haircut?

Answer 1

Hi Jessica, let x represent the amount the assistant charges for a haircut. Then the owner charges x + 20 for each hair cut.

 

We can set up an equation to solve for x.

 

12 * x + 6 * (x + 20) = 750

 

12x + 6x + 120 = 750

 

Subtract 120 from both sides and combine the x terms:

 

18x = 630

 

Divide both sides by 18:

 

x = 35

 

The assistant charges $35 per haircut and the owner charges $55 per hair cut.

 

Questions?