The youth group is going on a trip to the state fair the trip costs $58 included in that price $12 for a concert ticket and the cost of 2 passes on for the risdes 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

1) The equation is 12 + 2x = 58,

2) The price of one pass is $ 23.

Step-by-step explanation:

1) Given,

Total cost of the trip = $ 58,

In which, a ticket of concert and two passes of same price is included.

Also, the cost of ticket of the concert = $ 12,

Let x be the price of each pass,

So, the cost of two passes = 2x dollars

Thus, the total cost of the trip = Ticket cost + total cost of passes

= ( 12 + 2x ) dollars

⇒ 12 + 2x  = 58

Which is the required equation.

2) Now, for finding the value of x,

Subtract 12 from both sides,

2x = 46

Divide both sides by 2

x = 23

Hence, the price of one pass is $ 23.

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step-by-step explanation: