Your school committee is planning an after school trip by 193 people to a competition at another school. There are 8 drivers available and two types of vehicles, school buses and mini vans. The school buses seat 51 people each and the mini vans seat 8 people each.

How many buses and mini vans will be needed? Set up a system of equations to solve.

Question

Patrick Moyer

Mathematics

23 October, 18:37

Your school committee is planning an after school trip by 193 people to a competition at another school. There are 8 drivers available and two types of vehicles, school buses and mini vans. The school buses seat 51 people each and the mini vans seat 8 people each.

How many buses and mini vans will be needed? Set up a system of equations to solve.

+1

Answers (1)

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Farrell · Answer 1

B = no. of buses

v = no. of vans

b + v less than or equal to 8 (there are only 8 drivers, but don't have to use them all)

51b + 8v greater than or equal to 193 (the number of seats must be at least 193 but there can be spares)

So these are the inequalities to solve. I did start doing a linear programming graph but the second inequality is horrible so I hope you don't need to actually solve them.