A group of college students rent a bus for a ski trip The co

A group of college students rent a bus for a ski trip. The cost for the bus is $480 and the students divide thos evenly. They abstain from partying on this trip so they can do word problems in the evening. Because they hate to miss their math class, four students decide not to go on the trip. This increases the per share cost $10. How many students end up going on the ski trip?

Solution

let number of student be x and cost of trip per student be n

x n=480

n=480/x

According to the question

x/x-4=(480/x)+10/(480/x)

x=16

Number of students end up going on the ski trip =16-4=12