SOLUTION: Admission to a baseball game is $3.50 for general admissions and $6.50 for reserved seats. The receipts were $4491.50 for 967 paid admissions. How many of each ticket were sold?

Question 15402: Admission to a baseball game is $3.50 for general admissions and $6.50 for reserved seats. The receipts were $4491.50 for 967 paid admissions. How many of each ticket were sold?
Answer by LilSkittleMd(119) (Show Source): You can put this solution on YOUR website!
Let g=general admissions
r=reserved seats
g+r=967
3.50g+6.50r=4491.50
Solve for g in the first equation
g=967-r
Substitute the value of g in the second equation
3.50(967-r)+6.50r=4491.50
Distribute
3384.50-3.50r+6.50r=4491.50
3384.50+3r=4491.50
3r=1107
r=369
Now plug in the value of r into one of the original equations
g+369=967
g=598
There were 598 general admission tickets sold and 369 reserved seat tickets sold
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