Admission to a baseball game is $2.00 for general admission and $6.50 for reserved seats. The receipts were $3836.50 for 1133 paid admissions. How many of each ticket were sold?

General admission:784

Reserved seats:349

Explanation

Step 1

set the equations

let x represents the number of general admisions tickets sold

let y represents the number of greserved seats tickets sold

price of general admission: $ 2.0

price of reserved seat: $ 6.5

so

a)The receipts were $3836.50,hence

B) also, the number of tickets sold is 1133, so

Step 2

solve the equations

a) isolate x in equation (2) and replace in equation(1)

now, replace in equation(1)

hence

the number of reserved seats sold is 349

b)now, replace the y value in equation (2) to find x

hence

the number of general admission tickets sold is 784

I hope this helps you