A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c?
12 a + 5 c = 314. 22 a + 10 c = 169.
12 a + 5 c = 169. 22 a + 10 c = 314.
5 a + 12 c = 314. 22 a + 10 c = 169.
22 a + 5 c = 169. 12 a + 10 c = 314.
