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Pilar bought a purse on sale for $18, which is one-half of the original price. What was the original price?
A$18
B$9
C$54
D$36
Answer & Solution
Correct answer: D. $36
1. Let p equal the original price of the purse.
2. The sentence 18 is one-half the original price translates to 18 = one-half times p.
3. Multiply both sides by 2 to solve for p, giving p equals 36.
4. Check the answer: 18 is indeed one-half of 36, so the original price was $36.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_
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