Admission to a baseball game is $4.50 for general admission and $5.50 for reserved seats. The receipts were $4588.00 for 948 paid admissions. How many of each ticket were sold?

Question

Admission to a baseball game is $4.50 for general admission and $5.50 for reserved seats.  The receipts were $4588.00 for 948 paid admissions.  How many of each ticket were sold?

Steve · Answer

If the number of general admissions is x, then the rest (948-x) were reserved. So, add up the receipts: 4.50x + 5.50(948-x) = 4588.00