SOLUTION: Adult tickets cost $3 more than student tickets. He buys 8 student tickets and 6 adult tickets, and he spends a total of $102. What is the price of one adult ticket?

Question 1016446: Adult tickets cost $3 more than student tickets. He buys 8 student tickets and 6 adult tickets, and he spends a total of $102. What is the price of one adult ticket?
Found 2 solutions by macston, fractalier:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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A=price of adult ticket; S=price of student ticket=A-$3
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8S+6A=$102
8(A-$3)+6A=$102
8A-$24+6A=$102
14A=$126
A=$9
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S=A-$3=$9-$3=$6
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ANSWER: Adult tickets cost $9 And student tickets cost $6.
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CHECK:
8S+6A=$102
8($6)+6($9)=$102
$48+$54=$102
$102=$102
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Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call their costs a and s. Then we have
a = s + 3 and
8s + 6a = 102
Substituting in we get
8s + 6(s+3) = 102
8s + 6s + 18 = 102
14s + 18 = 102
14s = 84
s = $6
a = $9
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