Question

Chloe'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

number of cars = c
Number of buses =b
total vehicles = 32
b+ c = 32
c = 32- b
Number of people on bus = 27
Number of people on car = 3
Number of people who attended the trip=408
27b+3c=408
27b+3(32-b)=408
27b+96-3b=408
27b-3 b=408-96
24b=312
b=312/24
b=13
c=32-b
c=32-13
c=19
Number of buses =13
Number of cars =19