Question

A school is taking a field trip with 195 students and 10 adults. Each bus can hold at most 40 students. We need to determine the smallest number of buses needed for the trip. Let the n be the number of buses taken on the trip. Write and solve an inequality that models this problem based on n.

Answer 1

`40n>195+10`

`n>5.125`

Explanation:

The equality must satisfy the following:

A total of 195 students and 10 adults with 40 students per bus at most.

If the students it can take is at most 40, we must consider the adults as well. This maximum excludes the adults so therefore the actual amount of students must be less the 40 to allow adults on the bus as well.

`40n>195+10`

We can solve for n:

`40n>205`

`n>5.125`

The number of buses need for this trip must great than 5.