SOLUTION: A teacher has decided to take her fifth grade class to a play. The manager of the theater agreed to discount the regular ​$39 price of the ticket by ​$0.10 for each tic
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Question 1129740: A teacher has decided to take her fifth grade class to a play. The manager of the theater agreed to discount the regular $39 price of the ticket by $0.10 for each ticket sold. The cost of the bus, $160, will be split equally among each of the students. How many students must attend to keep the cost per student at or below $39?
You can put this solution on YOUR website! x students
cost per ticket is 39-0.1x
cost of everything is 160 + x(39-0.1x)
average cost is (160+39x-0.1x^2)/x
that has to be <=39
multiply through by x
160+39x-0.1x^2-39x<=0
x^2>=1600
x>=40
For 40 students, cost is $35.00 per student or $1400 for 40 students and with bus $1560
The average cost is $39.
40.
