At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's play, 125 tickets were sold, totaling $1,140. Which system of equations correctly represents this situation where a represents the number of adult tickets sold for Saturday night's play and c represents the number of child tickets sold?
1. a + c= 125 and 12a+6c=1140

2. 12a+6c=125 and a+c=1140

3. a+c=125 and 6a+12c=1140

4. 6a+12c=125 and a+c=1140