Question

The reel good Cinema is conducting a mathematical study. In this theater, there are 200 seats. Adult tickets cost $12.50 and a child ticket cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal.​

Answer 1

Considering no discounts for bringing people to the theatre, and a being the number of adults attending the show and b the number of children attending the show then:

$1500 \leqslant 12.5a + 6.5b \leqslant 2500$