SOLUTION: There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?

Question 380478: There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $830. How many adults and how many children attended?
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Equations:
Quantity: a + c = 430 tickets
Value::: 3a + c = 830 dollars
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Subtract Quantity Eq from Value Eq and solve for "a":
2a = 400
a = 200 (# of adult tickets sold)
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Since a+c = 430, c = 230 (# of child tickets sold)
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Cheers,
Stan H.

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