Question

50 POINTS PLEASE HELP FAST!!!!!

The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answer 1

The cost of the trip is $62, which includes a $14 concert ticket and the cost of two identical passes. By setting up the equation 62 = 14 + 2x and solving for x, we find that the price of one pass is $24.

Step-by-step explanation:

To find the cost of one pass for the state fair, we can set up an equation where the total cost of the trip ($62) is equal to the sum of the concert ticket price ($14) and the cost of two passes (2 times the price of one pass). Let's let x represent the price of one pass. So the equation will be:

62 = 14 + 2x

To solve for x, subtract 14 from both sides of the equation:

62 - 14 = 2x

48 = 2x

Now, divide both sides of the equation by 2 to find the price of one pass:

24 = x

Therefore, the price of one pass is $24.

Answer 2

11+2x= 52 , $20.50 equal one pass

Step-by-step explanation: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