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Tom paid $1,166.40 for a new refrigerator, and that amount included $86.40 of tax. To compare prices across stores he needs the price before tax. What was it?
A$1,080.00
B$1,252.80
C$1,090.00
D$1,008.00
Answer & Solution
Correct answer: A. $1,080.00
1. The amount paid is the sticker price plus the tax, so the sticker price is the total minus the tax.
2. Let p stand for the price before tax: p plus 86.40 equals 1,166.40.
3. Subtract 86.40 from both sides: p equals 1,166.40 minus 86.40.
4. Simplify: p equals 1,080.00, so the price before tax was $1,080.00.
5. $1,252.80 adds the tax on again instead of removing it, which double-counts the $86.40.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.1 Use a Problem Solving Strategy_
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