SOLUTION: An electronics store has a sale offering 20% off the price of all televisions. If Judy bought a TV during the sale and paid $470.20 at checkout (including a 7% sales tax), what wa

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Question 662182: An electronics store has a sale offering 20% off the price of all televisions. If Judy bought a TV during the sale and paid $470.20 at checkout (including a 7% sales tax), what was the original price of the TV before tax?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x - .2(x) + .07(x-.2x) = $470.20
x - .2x + .07x - .014x = 470.20
.856x = 470.20
x = 549.30 original price
Proof
.2(549.30) = 109.86 is the discount
549.30 - 109.86 = 439.44 is the sale price
.07(439.44) = 30.76 is the tax
439.44 + 30.76 = 470.20