Asanji's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 7 child tickets for a total of $162. The school got $311 on the second day by selling 11 adult tickets and 14 child tickets. Find the price of an adult ticket and the price of a child ticket using elimination.
Let A = adult ticket price
C = child ticket price
First day: 6A + 7C = 162.00 (multiply by -2) ---> -12A - 14C = -324.00
Second day: 11A + 14C = 311.00 11A + 14C = 311.00
add down the columns: -A = -13.00
A = 13.00
Since A = 13.00 ---> 6A + 7C = 162.00 ---> 6(13.00) + 7C = 162.00
78.00 + 7C = 162.00
7C = 84.00
C = 12.00