Question

Ayden’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?

Answer 1

Explanation:

Let x be the number of buses for the trip.

Then (32 - x) is the number of cars for the trip.

We have 27x + 3(32 - x) = 408.

=> 27x + 96 - 3x = 408

=> 24x = 312

=> x = 13

Hence there are 13 buses and (32 - 13) = 19 cars.