Question 1005058: A single screen movie theatre in a small town shows a movie twice each day: a matinee at noon and an evening showing at 7pm. Matinee tickets cost $6.50 each; evening tickets cost $9.50 each. One Saturday, 140 tickers were sold for both showings, and $1141 was brought in from the ticket sales at both showings. How many matinee tickets were sold? How many evening tickets were sold?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A single screen movie theatre in a small town shows a movie twice each day: a matinee at noon and an evening showing at 7pm.
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Matinee tickets cost $6.50 each; evening tickets cost $9.50 each. One Saturday, 140 tickers were sold for both showings, and $1141 was brought in from the ticket sales at both showings. How many matinee tickets were sold? How many evening tickets were sold?
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Quantity:: m + e = 140 tickets
Value:: 6.5m+9.5e = 1141 dollars
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Modify for elimination:
65m + 65e = 65*140
65m + 95e = 11410
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Subtract and solve for "e":
30e = 2310
e = 77 (# of evening tickets sold)
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m = 140-e = 140-77 = 63 (# of matinee tickets sold)
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Cheers,
Stan H.
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