Theatre Ticket Sales Problem

A theatre sells tickets for two different shows: a drama and a comedy. The price of a drama ticket is $12, while a comedy ticket costs $8. During one weekend, the theatre sold a total of 200 tickets and earned $1,800 from these ticket sales.

Let

$$d$$

represent the number of drama tickets sold, and let

$$c$$

represent the number of comedy tickets sold. This situation can be modeled with the following system of equations:

1.

$$ d + c = 200 $$

2.

$$ 12d + 8c = 1800 $$

Determine the number of drama tickets sold by the theatre and enter your answer in the grid below.