Problema Solution
Write an inequality to model the situation then solve.
A bus is to be chartered for the senior class trip. The basic fare is $9.50 per passenger. If more than 20 people go, everyone's fare is reduced by $0.30 for each passenger over this number (20). At least how many people must go to make the fare less than $7.50 per passenger?
Answer provided by our tutors
9.50 - 7.50 = 2.00
we want a $2.00 discount
let 'p' represent the number of passengers, then our discount is:
(p-20)*0.3
we want:
7.5 > 9.5 - (p-20)0.3
solving for 'p' we have p>26.7
so 27 passengers are required