Theater Ticket Sales Problem

A local theater is preparing for a special performance. The tickets for the performance are priced at $15 for adults and $10 for children. If the theater sells a total of 150 tickets and collects $1,950 in total, how many adult tickets were sold?

Let the number of adult tickets sold be represented by a and the number of child tickets sold be represented by c. From the information given, we can formulate the following system of equations:

1. $$ a + c = 150 $$

2. $$ 15a + 10c = 1950 $$