SOLUTION: Admission to a baseball game is $4.50 for general and $5.00 for reserved seats. The receipts were $5921.00 for 1274 paid admission. How many of each ticket were sold? how do I set

Question 511102: Admission to a baseball game is $4.50 for general and $5.00 for reserved seats. The receipts were $5921.00 for 1274 paid admission. How many of each ticket were sold?
how do I set up the equation and solve it?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Admission to a baseball game is $4.50 for general and $5.00 for reserved seats. The receipts were $5921.00 for 1274 paid admission. How many of each ticket were sold?
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# of tickets::::: g + r = 1274 tickets
value of tick:; 4.5g+5r = 5921 dollars
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Multiply thru the 1st eq. by 50
Multiply thru the 2nd eq. by 10
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50g + 50r = 50*1274
45g+50r = 59210
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Subtract and solve for "g":
5g = 4490
g = 898 (# of general admission tickets sold)
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Solve for "r:
g + r = 1274
898 + r = 1274
r = 376 (# of reserve tickets sold)
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Cheers,
Stan H.
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