SOLUTION: Mark's school is selling tickets to a choral performance.on the first day the school sold 9 senior citizens tickets and 8 child tickets for a total of $153. The school took in $153

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mark's school is selling tickets to a choral performance.on the first day the school sold 9 senior citizens tickets and 8 child tickets for a total of $153. The school took in $153      Log On


   

Question 1112724: Mark's school is selling tickets to a choral performance.on the first day the school sold 9 senior citizens tickets and 8 child tickets for a total of $153. The school took in $153 on the second day by selling 3senior citizens tickets and 14 child tickets. What is the price each of one senior citizens ticket and one child ticket?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the price of a senior ticket
Let +b+ = the price of a child ticket
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(1) +9a+%2B+8b+=+153+
(2) +3a+%2B+14b+=+153+
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Multiply both sides of (2) by +3+
and subtract (1) from (2)
(2) +9a+%2B+42b+=+459+
(1) +-9a+-+8b+=+153+
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+34b+=+306+
+b+=+9+
and
(1) +9a+%2B+8b+=+153+
(1) +9a+%2B+8%2A9+=+153+
(1) +9a+=+153+-+72+
(1) +9a+=+81+
(1) +a+=+9+
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Both senior and child tickets cost $9
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check:
(1) +9a+%2B+8b+=+153+
(1) +9%2A9+%2B+8%2A9+=+153+
(1) +81+%2B+72+=+153+
(1) +153+=+153+
OK