SOLUTION: A group of students decide to attend a concert. The cost of renting a bus to take them to the concert is $450, which is to be shared equally among the students. The concert promote

Question 1088093: A group of students decide to attend a concert. The cost of renting a bus to take them to the concert is $450, which is to be shared equally among the students. The concert promoters offer discounts to groups arriving by bus. Tickets normally costs $59 each but are reduced $0.10 per ticket for each person in the group (up to the maximum capacity of the bus). How many students must be in the group for the total cost per student to be less than $54?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A group of students decide to attend a concert.
The cost of renting a bus to take them to the concert is $450, which is to be shared equally among the students.
The concert promoters offer discounts to groups arriving by bus.
Tickets normally costs $59 each but are reduced $0.10 per ticket for each person in the group (up to the maximum capacity of the bus).
How many students must be in the group for the total cost per student to be less than $54?
:
Find how many student are needed to reduce the price by $5 at .10 each (from 59 to 54)
5/.10 = 50 students
"How many students must be in the group for the total cost per student to be less than $54?"
51 students, 59 - 51(.10) = $53.90 per ticket
:
Find how much each student pays for the bus if there are 51 students
450/51 = $8.82
Total cost for each: 8.82 + 53.90 = $62.72 total for each of the 51 students

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