Question

reserved seat tickets for the football game costs $4.00 each and general admission tickets cost $3.00 each. after the game is over, the turnstile count shows 1787 people attended the game. the total receipts were $5792. find the number of each kind of ticket sold

Answer 1

431 reserved tickets, 1356 general tickets

Explanation:

4x + 3y = 5792

x + y = 1787

Start with these equations and guess numbers and eventually you'll be right

1000x + 787y =6361 WRONG

700x + 1087y = 6061 WRONG

500 x + 1287y = 5861, close but WRONG

430 x + 1357 y = 5791, very close but WRONG

431 x + 1356y = $5792, CORRECT

431 + 1356 = 1787 tickets sold