# algebra

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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

• algebra -

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

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