SOLUTION: A tire was sold for $35.65, which included the 4% state sales tax and an 11% federal tax. What was the original price of the tire before taxes?
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Question 178709: A tire was sold for $35.65, which included the 4% state sales tax and an 11% federal tax. What was the original price of the tire before taxes? Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website! A tire was sold for $35.65, which included the 4% state sales tax and an 11% federal tax. What was the original price of the tire before taxes?
Let $x represent the price of the tire before taxes, then
(Price of tire) + (state tax) + (Federal tax) = (Selling Price)
$x + .04x + .11x = $35.65
Multiply every term by 100 to clear of decimals:
Divide both sides by 115:
The tire before taxes sold for $31.00.
Check:
The tire before taxes cost $31.00
The state tax on $31 is .04×$31 or $ 1.24
The Federal tax on $31 is .11×$31 or $ 3.41
Total $35.65
Edwin
