Question

Ted Thomason found a good deal when he purchased a bedding set. He paid the store's clerk two $20 bills and a $5 bill. The clerk gave him $2.65 in change. If the sales tax is 7.2%, what was the selling price of the bedding set before taxe

Answer 1

The answer is $39.51

Answer 2

The selling price of the bedding before tax is $39.51

Step-by-step explanation:

Amount given to the clerk = 2(20) + 5

= 40 + 5

= $45

Change received = $2.65

Amount paid = 45 - 2.65

= $42.35

Let the selling price of the item without sales tax = C

With the sales tax at a rate of 7.2% ,

Sales tax = 7.2% × C

= $0.072C

Total amount paid = selling price + Sales tax

Therefore

42.35 = C + 0.072C

42.35 = 1.072C

Divide both sides by 1.072

`(42.35)/(1.072) = (1.072C)/(1.072) \\`

39.51 = C

C = $39.51

The selling price of the bedding set is $39.51