SOLUTION: Ms. Arena purchased a new TV at a local electronics store for $ 541.25, which included tax. If the tax rate is 8.25%, find the price of the TV before they added the tax.

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Question 1183593: Ms. Arena purchased a new TV at a local electronics store for $ 541.25, which included tax. If the tax rate is 8.25%, find the price of the TV before they added the tax.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
p, the price without the taxes

p%2B0.0825p=541.25
Solve for p.

Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.
Ms. Arena purchased a new TV at a local electronics store for $ 541.25, which included tax.
If the tax rate is 8.25%, find the price of the TV before they added the tax.
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Let x be the price before the tax (the unknown value under the problem's question).


Write an equation for x as you read the problem


    x + 0.0825x = 541.25  dollars,

or

    (1 + 0.0825)x = 541.25.


From the equation, find x


    x = 541.25%2F1.0825 = 500  dollars.


ANSWER.  The price of the item was 500 dollars.

Solved.