Find the price of an adult ticket and the price of a student ticket.

Question

Jimmy's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 14 adult tickets and 10 student tickets for a total of $290. The school took in $170 on the second day by selling 5 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket.

Answer 1

14A + 10C = 290 multiply by 4

56A + 40C = 1160 is equation I

5A + 8C = 170 multiply by 5

25A + 40C = 850 is equation II

subtract equation II from equation I

to eliminate one variable

31A = 310 divide by 31

A = 10 adult tickets

10C = 290-14(10) = 290-140 = 150

10C = 150, divide by 10

C = 150/10 = 15 child tickets