Question

A school is planning a field trip for 142 people. The trip will use 6 drivers and 2 types of vehicles: buses and vans. A bus can seat 51 people. A van can seat 10 people. Write and solve a system of equations to find out how many buses and how many vans will be needed.

Answer 1

First figure out Info needed
So 142 people 6 drivers
2 vehicles of which are bus and vans
Van:capacity of 10 Bus:capacity of 51
So plug in x for buses and y for vans
x+y+6=142
Subtract 6
x+y=136
51 times 2 gives you 102 for the bus capacity so two buses
x(2)+y=136
51(2)+y=136
102+y=136
Subtract 102
Giving you 34
y=34
4 vans because
34 divided by 10 is 3.4 but there is no 3.4 van so round up to 4
You end up needing 2 buses and 4 vans