SOLUTION: Tickets are available at 3 prices for a series of concerts. On a certain evening n people buys the cheapest tickets at x pounds. One third of this number buy the middle price ticke
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Question 697166: Tickets are available at 3 prices for a series of concerts. On a certain evening n people buys the cheapest tickets at x pounds. One third of this number buy the middle price ticket which costs 3 times as much as the cheapest and for every 5 sold for this price, 3 of the most expensive tickets are sold, each of which costs half of much again as the middle price ticket. In all, 690 people attend the concert paying a total of £1957.50. How many people buy the cheapest ticket and what is the cost of the most expensive ticket.
Thanks!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Revenues from the cheapest tickets is
(1)
Revenues from the middle price tickets is
(2)
(2)
Revenues from the most expensive tickets is
(3)
(3)
----------------
given:
-----------
30 people buy the cheapest ticket
-----------
given:
What is the cost of the most expensive ticket?
The cost of most expensive ticket is 101.25 pounds
----------------
check answers:
(1)
(1)
----------------
(2)
---------------
(3)
(3)
---------------
OK
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