gumball12879 gumball12879
  • 18-11-2021
  • Mathematics
contestada

Dakota paid $301.32 for a new game system, after tax, and the tax rate is 8%. What was the original price of the game system?

Respuesta :

cajunbeano0444
cajunbeano0444 cajunbeano0444
  • 21-11-2021

Answer: 279.

Step-by-step explanation:

First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.

Sales tax amount =x⋅0.08

Next, substitute the value into the equation:

Original Cost + Sales Tax Amount = Total Cost

x+0.08x=301.32

Add like terms.

1.08x=301.32

Divide both sides by 1.08 to isolate the unknown value.

x=$279

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