SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $6, and children were admitted for $3. If box office receipts totaled $2940, how many children att

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Question 838868: Six hundred people attended the premiere of a motion picture. Adult tickets cost $6, and children were admitted for $3. If box office receipts totaled $2940, how many children attended the premiere?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adults who attended
Let +c+ = number of children who attended
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(1) +a+%2B+c+=+600+
(2) +6a+%2B+3c+=+2940+
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Subtract (1) from (2)
(2) +2a+%2B+c+=+980+
(1) +-a+-+c+=-+600+
+a+=+380+
and
(1) +380+%2B+c+=+600+
(1) +c+=+220+
220 children attended
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check:
(2) +2%2A380+%2B+220+=+980+
(2) +760+%2B+220+%2B+980+
(2) +980+=+980+
OK