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9 December, 10:37

Fred bought seven adult and two student tickets for $16. John paid $7 for one adult and five student tickets. Individual costs are:

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  1. 9 December, 12:07
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    Adult ticket=$2

    Student ticket=$1

    Step-by-step explanation:

    Let the cost of one adult ticket be $x and the cost of one student ticket be $y

    Fred bought 7 adult and 2 student tickets for$16.

    So,

    7x+2y=16 ... (1)

    And, John paid $7 for one adult and 5 student tickets.

    So,

    x+5y=7 ... (2)

    From ... (2),

    x=7-5y

    Substituting the value of x in equation ... (1),

    7 (7-5y) + 2y=16

    or, 49-35y+2y=16

    or, 33y=33

    or, y=1

    Now, substituting the value of y in ... (2),

    x=7-5=2

    Thus, the cost of one adult ticket is $2 and the cost of one student ticket is $1.
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