Question

6.1.27-BE
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A 5000-seat theater has tickets for sale at $24 and $40. How many tickets should be sold at each price for a sellout performance to generate a total
revenue of $139,200?

Answer 1

Respuesta:

x = $40 tickets

y = $24 tickets

x + y = 5,000

40x + 24y = 145,600

y = 5,000 - x

40x + 24(5,000 - x) = 145,600

40x + 120,000 - 24x = 145,600

16x + 120,000 = 145,600

16x = 25,600

x = 1,600 $40 tickets

x + y = 5,000

1,600 + y = 5,000

y = 3,400 $24 tickets

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