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?

Algebra.Com
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
RELATED QUESTIONS

a coat cost 204.66 which included an 8% tax. what was the original cost before the sales... (answered by nerdybill)
Travis paid $318 for a new suit including 6% in sales tax. What was the price of the suit (answered by ewatrrr)
Travis paid $318 for a new suit including 6% in sales tax. What was the price of the suit (answered by 303795)
How do i find the original price after sale tax has been added, such as: The cost of... (answered by elima)
Ruth paid $132.50 for a new dress with 6% sales tax included. What was the price of the... (answered by jim_thompson5910)
Alice paid $1130 for a Vespa. Included in the price was the 8.5% sales tax and $45 title. (answered by MathLover1)
Julie Richards paid $86.80 for a dress. the cost included an 8 1/2% sales tax. what was... (answered by ikleyn)
Suppose you pay a total of $345.53 for an item including sales tax. Assume sales tax is... (answered by mananth)
Including 6% sales tax, a car sold for $23,850. Find the price of the car before the tax... (answered by unlockmath)