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?

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Answer:

$3

Step-by-step explanation:

Given that:

Price of each comb = $[tex]x[/tex]

15 combs were purchased in = $[tex](15x-45)[/tex]

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 $[tex]x[/tex] each.

Original Price of 15 combs = Price of one comb [tex]\times[/tex] Number of combs = $15[tex]x[/tex]

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 = [tex]15x- (15x-45)[/tex] = $45

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

Discount offered on each comb = [tex]\frac{45}{15}[/tex] = $3

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