SOLUTION: The school that Jasmine goes to is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 12 child tickets for a total of $143. The school t

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Question 947311: The school that Jasmine goes to is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 12 child tickets for a total of $143. The school took in $154 on the second day by selling 6 adult tickets and 8 tickets. What is the price each of one adult ticket and one child ticket?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost of 1 adult ticket
Let +b+ = cost of 1 child ticket
(1) +1%2Aa+%2B+12b+=+143+
(2) +6a+%2B+8b+=+154+
-----------------------
Multiply both sides of (1) by +6+
and subtract (2) from (1)
(1) +6a+%2B+72b+=+858+
(2) +-6a+-+8b+=+-154+
----------------------
+64b+=+704+
+b+=+11+
and
(1) +1%2Aa+%2B+12b+=+143+
(1) +1%2Aa+%2B+12%2A11+=+143+
(1) +a+%2B+132+=+143+
(1) +a+=+143+-+132+
(1) +a+=+11+
----------------
Adult tickets are $11 ea
Child tickets are $11 ea
strange result
----------------------
check:
(1) +1%2Aa+%2B+12b+=+143+
(1) +1%2A11+%2B+12%2A11+=+143+
(1) +11+%2B+132+=+143+
(1) +143+=+143+
OK
(2) +6a+%2B+8b+=+154+
(2) +6%2A11+%2B+8%2A11+=+154+
(2) +66+%2B+88+=+154+
(2) +154+=+154+
OK