SOLUTION: there are a total of 100 tickets sold for a movie. adult tickets are $12 each, childrens tickets are $8 each. the theater made a total of $880. how many childrens tickets were sold

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Question 955236: there are a total of 100 tickets sold for a movie. adult tickets are $12 each, childrens tickets are $8 each. the theater made a total of $880. how many childrens tickets were sold? adult tickets?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
there are a total of 100 tickets sold for a movie. adult tickets are $12 each, childrens tickets are $8 each. the theater made a total of $880. how many childrens tickets were sold? adult tickets?
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Equations:
a + c = 100 tickets
12a+8c = 880 dollars
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Modify for elimination:
4a + 4c = 400
6a + 4c = 440
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Subtract and solve for "a":
2a = 40
a = 40 (# of adult tickets sold)
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c = 100-40 = 60 (# of children tickets sold)
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Cheers,
Stan H.
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