SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $6, and children were admitted for $2. If box office receipts totaled $2880, how many children atte

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Question 646735: Six hundred people attended the premiere of a motion picture. Adult tickets cost $6, and children were admitted for $2. If box office receipts totaled $2880, how many children attended the premiere?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Six hundred people attended the premiere of a motion picture. 

highlight%28x%29Adult tickets cost $6, and highlight%28y%29children were admitted for $2. 

Question states***box office receipts totaled $2880

 6x + 2y = 2880    |  y = 600-x

 6x + 2(600-x) = 2880

    4x = 1680

     x = 420, number of adults, 180 children    600-420

and

6%2A420+%2B+2%2A180+=+2880