Question

Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there

were 175 adult tickets sold and 103 child tickets sold. There was a total of $13796 in ticket sales. The
Jones family bought two adult tickets and two child tickets and spent a total of $184. How much does an
adult ticket cost and how much does a child ticket cost?

Answer 1

Adult ticket is $60

Child ticket is $32

Explanation:

Let x = price of adult ticket

y = price of child ticket

(1) 175x + 103y = 13796 (2) 2x + 2y = 184

x + y = 92

y = 92 - x

175x + 103(92 - x) = 13796

175x + 9476 - 103x = 13796

72x = 4320

x = 60 y = 92 - 60

y = 32