Problema Solution

A group of students are going on a field trip. If the group takes 3 vans and 1 car,22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. how many students can fit in each van?

Answer provided by our tutors

let


v = the number of students that can fit in one van

c = the number of students that can fit in one car


If the group takes 3 vans and 1 car,22 students can be transported


3v + c = 22


If the group takes 2 vans and 4 cars, 28 students can be transported


2v + 4c = 28


by solving the system of equations


3v + c = 22

2v + 4c = 28


we find


v = 6 vans


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