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17 June, 07:09

The Freshman Spirit Club took a trip to the state fair. There were 59 Students and 6 chaperones, and the total admission cost for the groups was $508. Student tickets cost $2 more than chaperone tickets. Write and solve an equation to find the cost of a student ticket.

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  1. 17 June, 07:28
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    For this problem, let's assign variables for the unknown parameters. Let x be the value for student tickets, while y be the value for chaperone tickets. The two equations formulated would be:

    59x + 6y = 508 - - > eqn 1

    x = 2+y - - > eqn 2

    Rearranging eqn 2,

    y = x - 2

    Substituting this to eqn 1 and solving for x,

    59x + 6 (x - 2) = 508

    59x + 6x - 12 = 508

    x = 8

    Thus, each student ticket costs $8.
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