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. (10 points)

Equation: 14 + 2p = 62

Cost of 1 pass: $24

Step-by-step explanation:

Let each pass cost x.

Total cost per person is: $62

Total cost per person is made up of concert ticket, $14, and 2 passes, 2p:

$14 + 2p

Equation:

14 + 2p = 62

Subtract 14 from both sides.

2p = 48

Divide both sides by 2.

p = 24

Equation: 14 + 2p = 62

Cost of 1 pass: $24

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step-by-step explanation: