Problema Solution
Suppose that you are collecting tickets at a football game. Reserves seat tickets cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows that 1787 people paid admission. You count a total of $5792 from the sale of tickets. You are just about ready to leave for your postgame date when your boss says, "by the way, how many tickets were there? Rather than spending half an hour sorting and counting all the ticket stubs, you decide to use algebra. How many of each kind of ticket were sold?
Answer provided by our tutors
let 'x' represent the number of reserve seats that were sold, then '1787-x' represents the number of general admission tickets sold
we then have the following cost equation:
5792 = 4x + 3(1787-x)
solving for 'x' we have:
x = 431
1787-431 = 1356
there were 431 reserve seat tickets and 1356 general admission tickets sold