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A 5000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $145,400?

Answer :

SOLIDASJILLIANEGO

let x - number of $26 tickets

y- number of $40 tickets

x + y = 5000

x = 5000 - y

26x + 40y = 155,200

26(5000 - y) + 40y = 155200

130,000 - 26y + 40y = 155200

14y = 25,200

y = 1800

x = 5000 - 1800 = 3200

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