SOLUTION: A total of 5000 tickets were sold for a concert. Tickets were priced at $20, $30, and $50. If three times as many $20 tickets were sold as $50 tickets, and the total receipts were

Question 1127814: A total of 5000 tickets were sold for a concert. Tickets were priced at $20, $30, and $50. If three times as many $20 tickets were sold as $50 tickets, and the total receipts were $140,000, how many tickets were sold at each price?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

Let x = # of tickets sold at $50.


Then the number of tickets sold at $20 was 3x, according to the condition,

and the rest, (5000-x-3x) were sold at $30.


Therefore, your "money" equation is

50x + 20*(3x) + 30*(5000-x-3x) = 140000   dollars total  (the revenue !).


50x + 60x + 150000 - 120x = 140000

-10x = 140000 - 150000 = -10000

x =  = 1000.


Answer.  1000 tickets at $50;  3000 tickets at $20  and  1000 tickets at $30.

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