A theater sells tickets for a play. The price of an adult ticket is the same, and the price of a child ticket is the same. On Saturday, 5 adult tickets and 3 child tickets were sold for a total of $115. On Sunday, 2 adult tickets and 7 child tickets were sold for a total of $100. Which of the following systems of linear equations represents this situation, if represents the price, in dollars, of an adult ticket and represents the price, in dollars, of a child ticket?
5x + 3y = 100
2x + 7y = 115
5x + 2y = 115
3x + 7y = 100
5x + 3y = 115
2x + 7y = 100
3x + 5y = 115
7x + 2y = 100
