The youth group is going on a trip to the state fair. The trip costs $52. Included in that price in $11 for a concert ticket and
the cost of 2 passes, one for the rides and one for the game booths. Each of the passes cost the same price. Write an equation representing the cost of the trip and determine the price of one pass. Show your explanation please.
52 is the total and $11 is included in that total. So you have part of your equation : 11 + something = 52. In order to find that " something " you have to set up a variable : 2x , 2 because that is the amount of passes bought and X because you don't know the cost of the passes yet. You now have your equation : 11+2x=52. Next you isolate the "2x" by subtracting eleven from itself and what you do to one side of the equation you have to do to the other, so you subtract 11 from 52 and are left with 41 . You then have the simplified equation : 2x=41 . Now you're going to isolate the variable by dividing 2x by 2 and doing the same to 41. You're then left with X= 20.50 , the cost of one ticket