Question

"The ratio of used cars to new cars at a dealership is 12 to 5. If the dealership has 156 used cars on the lot, how many are new?"

A) 60
B) 65
C) 45
D) 70

Answer 1

To determine the number of new cars at the dealership, divide the total number of used cars by the ratio value representing used cars to find the value per unit, then multiply by the ratio value for new cars, resulting in 65 new cars.

Step-by-step explanation:

The question asks to find the number of new cars at a dealership given the ratio of used cars to new cars is 12 to 5, and there are 156 used cars. To solve this, you can use the concept of ratios. If 12 units represent used cars and 5 units represent new cars, then you can set up a proportion where 12 units correspond to 156 actual used cars (12 units / 156 cars = 1 unit / x cars), solving for x, you find the value of one unit. After finding the value of one unit, multiply by 5 to find the actual number of new cars at the dealership.

First, calculate the value of one unit: 156 cars / 12 units = 13 cars per unit. Then, calculate the number of new cars: 13 cars/unit × 5 units = 65 new cars.

Therefore, the correct answer is B) 65 new cars.