Problema Solution

A theater charges $9.75 for each evening shows and $7 for matinees. If they take in a total of 2300 tickets and had a total receipts of $20,973, how many of each type of ticket did they sell?

Answer provided by our tutors

x+y=2300

9.75x+7y=20973

solving the above two equations, x = 4873/2.75 = 1772

y = 2300 - 1772 = 520

Evening show = 1772

Matinee = 520