SOLUTION: at the local movie theater, adult tickets are $6 and children under 12 pay only $4 if 34 tickets are sold for a total of $184, how many of the tickets were adult and how many were

Question 960214: at the local movie theater, adult tickets are $6 and children under 12 pay only $4 if 34 tickets are sold for a total of $184, how many of the tickets were adult and how many were children tickets?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
A=number of adult tickets; C=number of child tickets
A+C=34
A=34-C
$6A+$4C=$184 Substitute for A
$6(34-C)+$4C=$184
$204-$6C+$4C=$184 Subtract $204 from each side.
-$2C=-$20 Divide each side by -$2
C=10 ANSWER 1: Ten child tickets were sold.
A=34-C=34-10=24 ANSWER 2: Twenty-four adult tickets were sold.
CHECK:
$6A+$4C=$184
$6(24)+$4(10)=$184
$144+$40=$184
$184=$184
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