SOLUTION: There 429 people at a play. Admission was 8$ each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended?

Question 513401: There 429 people at a play. Admission was 8$ each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There 429 people at a play. Admission was 8$ each for adults and $4.50 each for children. The total receipts were $2641. How many adults and how many children attended?
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Equations:
Quantity Eq: a + c = 429 tickets
Value Eq: 8a + 4.5c = 2641 dollars
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Multiply thru the Quantity Eq. by 80.
Multiply thru the Value Eq. by 10.
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80a + 80c = 80*429
90a + 45c = 26410
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Subtract and solve for "c":
35c = 7910
c = 226 (# of children's tickets)
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Solve for "a"
a + c = 429
a + 226 = 429
a = 203 (# of adult tickets)
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Cheers,
Stan H.
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