On one day at a local minigolf course, there were 414 customers who paid a total of $3,780. If the cost for a child is $9 per game and the cost for an adult is $12 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.

answers:
x + y = 414 12x + 9y = 3780

x + y = 414 9x + 12y = 3780

x + y = 3780 12x + 9y = 414

x + y = 3780 9x + 12y = 414