Question

There are 27 cars and 81 trucks in the parking lot. What is the REDUCED ratio of trucks to cars?

a) 1:3
b) 3:1
c) 1:9
d) 9:1

Answer 1

The correct answer is option b. The reduced ratio of trucks to cars in the parking lot is 3:1, after dividing both quantities by the greatest common divisor.

Step-by-step explanation:

The student has asked about the reduced ratio of trucks to cars, given that there are 27 cars and 81 trucks in the parking lot. To find the reduced ratio, we divide both the number of trucks and the number of cars by their greatest common divisor (GCD).

In this case, the GCD of 27 and 81 is 27. Dividing both numbers by 27, we get the ratio of 81/27 for trucks to cars, which simplifies to 3:1. Therefore, the reduced ratio of trucks to cars is 3:1, which corresponds to option b.