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?

Respuesta :

Answer:

6 students.

Step-by-step 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