Question

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. write and solve a system of equations to represent the situation. fill in the blanks to indicate the number if students that can fit in each van and car?

Answer 1

6 students.

Explanation:

3v + c = 22 ---> c = 22 - 3v

2v + 4c = 28 ---> 2v + 4(22 - 3v) = 28

2v + 88 - 12v = 28

-10v + 88 = 28

- 88 - 88

- 10v = - 60

v = 6 students