Question

A class used cars and vans to go on a field trip because all of the buses were already in use. They used 15 vehicles to go on the trip. Each car holds 4 students and each van holds 6 students. If 74 students went on the trip, then how many of each type of vehicle did the class use?

Answer 1

8 cars and 7 vans

Explanation:

Let c =number of cars

v = number of vans

c+v = 15

4c+6v = 74

Multiply the first equation by -4 to eliminate c

-4c -4v = -60

Adding the second equation

-4c -4v = -60

4c+6v = 74

-------------------

2v = 14

Divide by 2

2v/2 = 14/2

v = 7

There are 7 vans

c+v = 15

c+7 = 15

c = 15-7

c = 8

There are 8 cars