SOLUTION: a school sold 200 tickets to a play. Ticket prices were $8.00 per adult and $5 per child. If the total sales for the tickets dcame to $1414, how many children's tickets were sold?
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Question 335266: a school sold 200 tickets to a play. Ticket prices were $8.00 per adult and $5 per child. If the total sales for the tickets dcame to $1414, how many children's tickets were sold?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
a school sold 200 tickets to a play. Ticket prices were $8.00 per adult and $5 per child. If the total sales for the tickets dcame to $1414, how many children's tickets were sold?
let A = adult tickets sold, and C = child tickets sold
A + C = 200 tickets
8A + 5C = $1414
C = 200 - A (now substitute this into 2nd equation)
8A + 5(200 - A) = 1414
8A + 1000 - 5A = 1414
8A - 5A = 414
3A = 414
A = 138 --> 138 adult tickets sold
138 + C = 200
C = 62 ----> 62 child tickets sold
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