Andreas bought a used car for $12,000, which was three-fourths of the original price. What was the original price?

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_