Question

On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?

Answer 1

Explanation:

8x + 13y = 75 (×10)

10x + 9y = 72 (×8)

80x + 130y = 750

-) 80x + 72y = 576

58y = 174

y = 3

10x + 9(3) = 72

10x + 27 = 72

10x = 72 - 27

10x = 45

x = 4.5

adult = $4.50

student = $3