Question

A 6000-seat theater has tickets for sale at $27 and $40 How many tickets should be sold at each price for a sellout performance to generate a total revenue of 5188,000?
The number of tickets for sale at $27 should be

Answer 1

Using a system of equation, the Number of tickets sold at $27 is - 380615

Let :

• Number of $27 tickets = a
• Number of $40 tickets = b

a + b = 6000 - - - - (1)

27a + 40b = 5188000 - - - - - (2)

From (1) :

• b = 6000 - a - - - - - - (3)

Put (3) in (2)

27a + 40(6000 - a) = 5188000

27a + 240000 - 40a = 5188000

-13a = 5188000 - 240000

-13a = 4948000

a = -380615

Kindly check the question as it might contain an error.

Learn more :https://brainly.com/question/15165519