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
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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(52781) (Show Source):
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.
