Admission to a baseball game is $3.50 for general admission and $6.00 for reserved seats. The receipts were $5436.00 for 1281 paid admissions.
How many of each ticket were sold?
Let's assume that the number of general admission tickets sold is X.
Therefore, the number of reserved seats sold is 1281 - X.
The equation to represent the total receipt is 3.50X + 6(1281 - X) = 5436.
Simplifying the equation gives 3.50X + 7686 - 6X = 5436.
Combining like terms gives -2.50X + 7686 = 5436.
Subtracting 7686 from both sides of the equation gives -2.50X = -2250.
Dividing by -2.50 gives X = -2250 / -2.50 = 900.
Therefore, 900 general admission tickets and 1281 - 900 = <<1281-900=381>>381 reserved seats were sold. Answer: \boxed{900, 381}.