You and your friend are selling tickets to a charity event. You sell 7 adult tickets and 16 student tickets for $120. Your friend sells 13 adult tickets and 9 student tickets for $140. What is the cost of a student ticket?

3 answers

Adult: $X each.
Student: $Y each.

Eq1: 7x + 16y = 120.
Eq2: 13x + 9y = 140.
Multiply Eq1 by 13, Eq2 by 7, and subtract:
91x + 208y = 1560
91x + 63y = 980
Diff.:145y = 580.
Y = $4.00.
you and your friend are selling tickets to a charity event. you sell 9 adult and 13 student tickets for 212 dollars. your friend sells 4 adult and 15 student tickets for 168 dollars. what was the cost of a student ticket.
14.356