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Question 117864: This problem does not tell me how many tickets were for adults and how many for a child. How can I tell this?
solve and check your answer
Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket were sold?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Tickets for a play at the community theater cost $12 for an adult and $4 for a child. If 130 tickets were sold and the total receipts were $840, how many of each type of ticket were sold?
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Let # of adult tickets be "a"; Let # of child tickets be "c".
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Value EQUATION: 12a + 4c = 840
Number EQUATION: a + c = 130
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Multiply the 2nd equation by 4 to get:
4a+4c = 520
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Substract that from the 1st equation:
8a = 320
a = 40 (# of adult tickets sold)
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Substitute to solve for "c":
40 + c = 130
c = 90 (# of child tickets sold)
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Cheers,
Stan H.
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