SOLUTION: Stefan's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 13 adult tickets and 2 student tickets for a total of $78. The

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Question 947503: Stefan's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 13 adult tickets and 2 student tickets for a total of $78. The school took in $143 on the second day by selling 13 adult tickets and 7 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=Adult tickets; S=Student tickets
13A+2S=$78
13A+7S=$143 Subtract the two equations
-5S=-$65 Divide each side by -5
S=$13 ANSWER 1: Student tickets cost $13.
Substitute in one of the equations to find A, use the other to check:
13A+2S=$78
13A+2($13)=$78
13A+$26=$78 Subtract $26 from each side.
13A=$52 Divide each side by 13
A=$4 ANSWER 2: Adult tickets cost $4.
CHECK
13A+7S=$143
13($4)+7($13)=$143
$52+$91=$143
$143=$143