A 5000-seat theater has tickets for sale at $26 and S40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153, 800?

Ethen Frey

Ethen Frey

Answered question

2022-07-26

A 5000-seat theater has tickets for sale at $26 and S40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153, 800?

Answer & Explanation

Kyan Hamilton

Kyan Hamilton

Beginner2022-07-27Added 12 answers

Total seat thever = 5000
$26 ticket sold = x
$40 ticket sold = 5000-x
Total amount = $153,800
Now,
$26 ticket sold + $40 ticket sold = Total amount
26 ( x ) + 40 ( 5000 x ) = 153800 26 x 40 x + 200000 = 153800 14 x = 46200 x = 3300
So,
$ 26 ticket sold = x =3300
$40 ticket sold = 5000-x=5000-3300
=1700

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