SOLUTION: Hello, I have tried to solve this problem! the problem reads: A movie theater has two ticket prices $8 for adults and $5 for kids. If the box office took in $4116. from the sale of

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Question 348347: Hello, I have tried to solve this problem! the problem reads: A movie theater has two ticket prices $8 for adults and $5 for kids. If the box office took in $4116. from the sale of 600 tickets, how many of each kind were sold?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A movie theater has two ticket prices $8 for adults and $5 for kids. If the box office took in $4116. from the sale of 600 tickets, how many of each kind were sold?
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Quantity: a + k = 600
Value: 8a+ 5k = 4116
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5a + 5k = 3000
8a + 5k = 4116
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Subtract the 1st from the 2nd and solve for "a":
3a = 1116
a = 372 (# of adult tickets sold)
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Since a+k = 600, k = 228 (# of kids tickets sold)
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Cheers,
stan H.
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