a class of 228 students went on a field trip. they took 12 vehicles, some vans and some buses. find the number of vans and the number of buses they took if each van holds 8 students and each bus holds 30 students
v + b = 12
8v + 30b = 228
8v = 228 - 30b
v = 28.5 - 3.75b
v + b = 12
(28.5 - 3.75b) + b = 12
2.75b = 16.5
b = 6
v + b = 12
v + (6) = 12
v = 6
There were 6 buses and 6 vans
Proof:
6 * 8 + 6 * 30 = 48 + 180 = 228