Question

A hairdresser receives a discount on each comb purchased. The original price of each comb is x dollars. The hairdresser purchases 15 combs for a total of (15x-45) dollars. By how much is each comb discounted?

Answer 1

$3

Explanation:

Given that:

Price of each comb = $
`x`

15 combs were purchased in = $
`(15x-45)`

To find:

Amount of discount offered on each comb.

Solution:

First of all, let us calculate the price of 15 combs at the price of $
`x` each.

Original Price of 15 combs = Price of one comb
`*` Number of combs = $15
`x`

Now, there is some discount provided on the purchase of 15 combs.

Discount offered on 15 combs = Original price of 15 combs - Discounted price of 15 combs =
`15x- (15x-45)` = $45

Discount offered on each comb = Discount on 15 combs divided by 15

Discount offered on each comb =
`(45)/(15)` = $3