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Andreas bought a used car for $12,000, which was three-fourths of the original price. What was the original price?
A$9,000
B$15,000
C$16,000
D$18,000
Answer & Solution
Correct answer: C. $16,000
1. Let p represent the original price of the car.
2. Translate into an equation: 12,000 equals three-fourths of p.
3. Multiply both sides by four-thirds, the reciprocal of three-fourths.
4. Simplify: p equals 16,000, and checking confirms three-fourths of $16,000 equals $12,000.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
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