algebra
posted by kayla on .
a large group of students want to go to the movies. if the students take 3 vans and 1 car they can transport 22 people. if they take 2 vans and 4 cars. they can transport 28 people.write and solve a system of equations to find the number of people that can be transported in a van. show your work

Question 1
3v + c = 22 (1)
2v + 4c = 28 (2)
From (1)
3v + c = 22
c = 22  3v (3)
Substitute (3) into (2)
2v + 4(22  3v) = 28
2v + 88  12v = 28
10v = 60
v = 6
Therefore, the number of people that can be transported in a van is 6