The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $10 for each child's ticket. They sold 3 times as many children's tickets as adult tickets. Write a system of equations that can be used to determine the number of adult and child tickets sold. How many adult tickets and child tickets were sold?

Answer:equations20a +10c = 15000c = 3asolution300 adult900 children'sStep-by-step explanation:Let "a" and "c" represent the numbers of adult and children's tickets sold, respectively. The problem statement tells us two relationships between these values:... 20a +10c = 15000 . . . . . . total revenue from ticket sales... c = 3a . . . . . . . . . . . . . . . . relationship between numbers of tickets soldUsing the expression for c, we can substitute into the first equation to get ...... 20a +10(3a) = 15000... 50a = 15000... a = 15000/50 = 300 . . . . . adult tickets sold... c = 3·300 = 900 . . . . . children's tickets sold