SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $11, and children were admitted for $6. If box office receipts totaled $5700, how many children att

Question 767043: Six hundred people attended the premiere of a motion picture. Adult tickets cost $11, and children were admitted for $6. If box office receipts totaled $5700, how many children attended the premiere?
Answer by nawsin(1) (Show Source): You can put this solution on YOUR website!
Let a be for Adults
let c be for Children
Since total number of people attended are 600
Therefore,
a + c = 600.........(i)
$11 for Adults
$6 for children
Total receipts = $5700
Therefore,
11a + 6c = 5700.....(ii)
a = 600 - c.........(iii)
Putting equation (iii) into equation (ii)
11(600-c) + 6c = 5700
6600 - 11c + 6c = 5700
5c = 900
c = 180 children
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