Ahigh 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?

12a + 5c = 169

22a + 10c = 314  

Step-by-step explanation:

A high school drama club is selling tickets for the spring production.

One day president sold 12 adult tickets and 5 child tickets for a total of $169.

Let cost of adult ticket is a and for child ticket c

Therefore, equation will be

12a + 5c = 169

Next day the president sold 22 adult tickets and 10 child tickets. so equation will be

22a + 10c = 314  

so these are system of equations