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12 February, 22:28

A family fair went to the fair and paid $24 for 2 adult tickets and 2 youth tickets. A youth ticket is half the price of an adult ticket. How much did a youth ticket cost?

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  1. 12 February, 22:31
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    Youth tickets = $4

    Step-by-step explanation:

    Let x and y represent the price of adults and youth tickets respectively;

    Given;

    A youth ticket is half the price of an adult ticket

    y = 0.5x ... 1

    They paid $24 for 2 adult tickets and 2 youth tickets.

    2y + 2x = 24 ... 2

    Substituting equation 1 into 2;

    2 (0.5x) + 2x = 24

    x + 2x = 24

    3x = 25

    x = 24/3 = 8

    Since, y = 0.5x

    y = 0.5 (8) = 4

    Adult tickets = $8

    Youth tickets = $4
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