Jorge has spent $789.37 at the home improvement store. a storewide sale offers an 11% rebate on everything in the store. if he paid a 6% sales tax, how much rebate should he get?

Respuesta :

Answer:

  • $ 81.92

Explanation:

The rebate is an amount that the store will return to Jorge after he has paid and is calculated over the price but not over the sales tax.

Then, since the $ 789.37 paid include the 6% sales tax, to calculate the rebate, you first must calculate the sales tax and reduce it from the total paid.

Calculation of the sales tax:

  • $ 789.37 = value of the items purchased +  sales tax
  • $ 789.37 = value of the items purchased + 6% of value of the items purchased
  • $ 789.37 = value of the items purchased + 0.06 × value of the items purchased
  • $ 789.37 = value of the items purchased × 1.06
  • $ 789.37 / 1.06 = value of the items purchased
  • $ 744.69 = value of the items purchased

Calculation of the rebate:

  • Rebate = 11% of value of the items purchased
  • Rebate = 0.11 × $ 744.69
  • Rebate = $ 81.92 ← answer