Question

Nancy decided to look at new and used cars. Nancy found a used car for $36,000. Nancy found that she paid 90% of the price of a new car. How much would a new car cost? Round your answer to the nearest whole number if necessary.

a) $40,000
b) $39,000
c) $32,400
d) $33,000

Answer 1

The new car would cost $40,000, which can be calculated by dividing the used car price of $36,000 by 0.90 since the used car was bought at 90% of the new car's price.

Step-by-step explanation:

Nancy found a used car for $36,000 which she paid at 90% of the price of a new car. To find the cost of a new car, we set up the equation as follows: Used Car Price = 0.90 × New Car Price.

Plugging in the numbers gives us $36,000 = 0.90 × New Car Price. To isolate the New Car Price, we divide both sides of the equation by 0.90 resulting in New Car Price = $36,000 / 0.90. Calculating this gives us the new car price.

Therefore, the New Car Price = $40,000. This means the correct answer is option a) $40,000.