SOLUTION: A concert promoter needs to take in $380,000 on the sale of $16,000 tickets. If the promoter charges $20.00 dollars for some tickets and $30.00 for others, how many of each type m

Question 793204: A concert promoter needs to take in $380,000 on the sale of $16,000 tickets. If the promoter charges $20.00 dollars for some tickets and $30.00 for others, how many of each type must be sold to take in the $380,000? Please help
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A concert promoter needs to take in $380,000 on the sale of 16,000 tickets. If the promoter charges $20.00 dollars for some tickets and $30.00 for others, how many of each type must be sold to take in the $380,000?
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Equations:
Quantity: t + r = 16000 tickets
Value: 20t +30r = 380,000 dollars
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2t + 2r = 32000
2t + 3r = 38000
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Subtract and solve for "r":
r = 6000 (# of $30 tickets sold)
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Solve for "t":
t + r = 16000
t = 10,000 (# of $20 tickets sold)
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Cheers,
Stan H.
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