SOLUTION: Six hundred people attended the premiere of a motion picture.Adult tickets costs $5 each and children were admitted for $2 each.If the box office receipts totaled $2400; how many c

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Question 327588: Six hundred people attended the premiere of a motion picture.Adult tickets costs $5 each and children were admitted for $2 each.If the box office receipts totaled $2400; how many children attended
Answer by ganeshindia(11) (Show Source):
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Let the number of adult be x and the number of children be y.
Therefore, we get x + y = 600........(1) (because the total number of people attended the show is 600)
Collection of amount by selling the adult ticket = number of adult X cost of 1 adult ticket = x X 5 = 5x.
Collection of amount by selling the children ticket = number of children X cost of i children ticket = y X 2 = 2y.
Total amount = 2400
5x+2y = 2400...........(2)
Solving the equations (1) and (2) we get x=400 and y = 200.
Therefore, the number of children y=200.