SOLUTION: For a special event at the TCR spring fest, the cost of 3 adult tickets and 4 student tickets was $84 and the cost of 4 adult tickets and 2 student tickets was $62. find the admiss

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: For a special event at the TCR spring fest, the cost of 3 adult tickets and 4 student tickets was $84 and the cost of 4 adult tickets and 2 student tickets was $62. find the admiss      Log On


   

Question 596151: For a special event at the TCR spring fest, the cost of 3 adult tickets and 4 student tickets was $84 and the cost of 4 adult tickets and 2 student tickets was $62. find the admission price for an adult ticket and for a student ticket at the spring fest.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the cost of an adult ticket
Let +s+ = the cost of a student ticket
given:
(1) +3a+%2B+4s+=+84+
(2) +4a+%2B+2s+=+62+
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Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +8a+%2B+4s+=+124+
(1) +-3a+-+4s+=+-84+
+5a+=+40+
+a+=+8+
and, since
(2) +4a+%2B+2s+=+62+
(2) +32+%2B+2s+=+62+
(2) +2s+=+30+
(2) +s+=+15+
An adult ticket is $8
A student ticket is $15
check:
(1) +3%2A8+%2B+4%2A15+=+84+
(1) +24+%2B+60+=+84+
(1) +84+=+84+
OK