please help Show how you solved the problem by using elimination method, the substitution method, or the graphical method

Question

The circus is coming. Cindy is selling tickets. she sold 8 adults tickets and 5 children's tickets for a total of $180.50 in sales. The second day she received $261.00 for 12 adult tickets and 6 children tickets. What is the price of a child's ticket? What is the price of an adult ticket? 

Write two algebraic equations that model this circus ticket scenario

Answer 1

8a + 5c = 180.50

12a + 6c = 261

elimination: 3 * eq1 + -2 * eq 2

24a + 15c = 541.5

-24a + -12c = -522

3c = 19.5

c = 6.50

12a + 6*6.50 = 261

12a + 39 = 261

12a = 222

a = 18.50