Question

There are 144 students in the JROTC program. They are taking a trip to NASA to study the space program's involvement in the military. They can travel in vans and small buses. A van holds 8 people, and a small bus holds 12 people. Write an equation that models the possible combination of small and large vans that your class could fill. They take 8 small buses, how many vans are taken on the school trip?

Answer 1

The school will take 6 vans on the trip.

Step-by-step explanation:

To model the possible combinations of vans and small buses, we can use the equation:

8v + 12b = 144

where v represents the number of vans and b represents the number of small buses. Since the school is taking 8 small buses, we can substitute b = 8 into the equation:

8v + 12(8) = 144

Simplifying the equation gives:

8v + 96 = 144

Subtracting 96 from both sides:

8v = 48

Dividing both sides by 8:

v = 6

Therefore, the school will take 6 vans on the trip.