Question

50 POINTS! please help me with this, need work and explanation to get right

A ​5000-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 ​$153,200​?

Answer 1

Explanation:

let the $27 tickets =A, and the $40 tickets =B

the equations system would be :

A + B = 5000 => A = 5000-B

27A + 40B = 153,200

by using substitution =>

27(5000-B)+40B = 153,200

135,000 -27B +40B = 153,200

13 B = 153,200 - 135,000

13 B = 18,200

B = 18,200/13 = 1,400

A = 5000-1400 = 3,600

so, the $27 tickets = 3,600

and the $40 tickets = 1,400