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Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of the premium?
A$480
B$7,500
C$750
D$675
Answer & Solution
Correct answer: C. $750
1. Let c stand for the original cost, so 60 is 8% of c, which translates to 60 equals 0.08 times c.
2. Divide both sides by 0.08 to isolate c: c equals 60 divided by 0.08.
3. Simplify: c equals 750, so the original premium was $750.
4. Check: 8% of 750 is 0.08 times 750, which equals 60, matching the increase.
5. $480 multiplies 60 by 8 instead of dividing by 0.08, running the percent relationship backwards.
_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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