Question

Yesterday, Kate gave exactly fourteen haircuts

and made $50.00. If she charged $5.00 for adults'
haircuts and $2.50 for children's haircuts, how
many children's haircuts did she give?
A) 5
B) 6
C) 7
D) 8

Answer 1

D) 8

Explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer 2

D) 8 Children’s Haircuts

Explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

`a+c=14`

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

`5a+2.5c=50`

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

`a=14-c`

Now, we can substitute this into the second equation for a. This yields:

`5(14-c)+2.5c=50`

Distribute:

`70-5c+2.5c=50`

Combine Like Terms:

`70-2.5c=50`

Subtract 70 from both sides:

`-2.5c=-20`

Divide both sides by -2.5:

`c=8`

Therefore, Kate gave 8 children’s haircuts.

This means that she gave
`14-8=6` adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.