SOLUTION: A 2000 seat theater has tickets for sale at $15 and $22. how many tickets should be sold at each price for a sellout performance to generate a total revenue of $33,500?
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Question 1148751: A 2000 seat theater has tickets for sale at $15 and $22. how many tickets should be sold at each price for a sellout performance to generate a total revenue of $33,500? Answer by ikleyn(52787) (Show Source):
x for $15 and y for $22.
x + y = 2000 (1)
15x + 22y = 33500 (2)
From equation (1) express x = 2000 - y and substitute it into equation (2).
15*(2000-y) + 22y = 33500
y = = 500.
ANSWER. 500 tickets for $22 and the rest 2000 - 500 = 1500 tickets for $15.
CHECK. 500*22 + 1500*15 = 33500 dollars. ! Correct !
