Question

A bus is to be chartered for annual senior trip to NYC. The basic fare is $155 perstudent. If more than 80 students go, everyone's fare will be reduced by $2 for each student over 80. At leasthow many students must go to make the fare less than $80 per student?

Answer 1

So the question is the least number of passengers needed to make the fare for each less than $80

n would be the number of passengers.

Then n-80=the number of passengers over 80

2(n-80)= amount each passenger's fare is reduced,

155-2(n-80)= the reduced fare per passenger.

So, the reduced fare per passenger is less than $80:

155-2(n-80)<80

Solving the inequality:

155-2n+160<80

-2n+315<80

-2n<80-315

-2n<-235

n>-235/-2

n>235/2

The number of passengers must be an integer, so

`n\ge118`

At least 118 passengers must go.