# Problem of the Week Problem A and Solution Theatre Trip

## Problem

The Grade $$3$$ and Grade $$4$$ classes are going on a field trip to the theatre. There are $$143$$ students, $$6$$ teachers, and $$16$$ parent volunteers that will be travelling by school bus to the theatre. If each bus is limited to $$45$$ passengers, what is the fewest number of buses needed for the trip?

## Solution

First we need to calculate how many people will be travelling in total.

There is a total of $$143 + 6 + 16 = 165$$ people on the field trip.

Now we can make a table that shows how many people can be transported on buses that hold $$45$$ people each:

Number of Buses Number of People
1 45
2 90
3 135
4 180

From this table, we see that $$3$$ buses will not hold enough people for the trip, but $$4$$ buses will have enough room for everybody. Therefore, the fewest number of buses needed is $$4$$.