Question

The Celluloid Cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. A child ticket cost

$7 and an adult ticket is cost $10. If the cinema sold $1470 worth of tickets, which system of equations could be used to determine how
many adult tickets, a, and how many child tickets, c, were sold?

Answer 1

a + c = 150

7.75a + 10.25b = 1470

Explanation:

Let a represent the number of adult tickets that were sold.

Let c represent the number of child tickets that were sold.

The celluloid cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. This means that

a + c = 150 - - - - - - - - - - - - - -1

A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, it means that

7.75a + 10.25b = 1470 - - - - - - - - -2