Admission to a baseball game is $2.00 for general admission and $3.50 for reserved seats. The receipts were $2806.00 for 1139 paid admissions. How many of each ticket were sold

There were 787 general admission and 352 reserved seat tickets sold.

Explanation:

Let g=general admissions, r=reserved seats

So, g+r=1139

So, 2.00g+3.50r=2806.00

Solving for g in the first equation

g=1139-r

Replacing the value of g in the second equation

2.00 (1139-r) + 3.50r = 2806.00

Distribute

2278-2.00r+3.50r = 2806.00

2278+1.50r = 2806.00

1.50r = 528

So, r = 352

Now plug in the value of r into one of the original equations

g+352=1139

So, g=787

Here 787 * 2.00 + 352 * 3.50 = 2806.00

There were 787 general admission tickets sold and 352 reserved seat tickets sold.