A class used cars and vans to go on a field trip because all of the buses were already in use. They used 16 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 144 students went on the trip, then how many of each type vehicle did the class use?

8 cars and 8 vans will be required to accomodate 144 students.

Explanation:

Let x be the number of cars

Let y be the number of vans

According to the question;

x + y = 16                                         -1

5x + 13y = 144                                 -2

Multiplying equation 1 by 5. We get

5x + 5y = 80                                      - 3

Substituting equation 2 and 3

5x + 13y = 144  

5x + 5y = 80  

8y = 64

y = 8

Substituting y = 8 in equation 1

x + 8 = 16

x = 8

Therefore, 8 cars and 8 vans will be required to accomodate 144 students.

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