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9 August, 02:41

The admission fee at a water park is $12.50 for children and $25.00 for adults On a certain day 352 people entered the park and the admission fees collected totaled $6,687.50 How many children and how many adults were admitted

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  1. 9 August, 05:35
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    Children = 137

    Adults = 215

    Step-by-step explanation:

    The admission fee at a water park is $12.50 for children

    and $25.00 for adults.

    On a certain day, 352 people entered the park and the admission fees collected totalled $6,687.50

    Let the number of children admitted be x,

    and the number of adults admitted be y.

    This forms a simultaneous equation:

    x + y = 352 ... (i)

    $12.50x + $25.00y = $6,687.50 ... (ii)

    Multiplyng (i) by 12.50 and (ii) by 1 we get;

    12.5x + 12.5y = 4400 ... (i)

    12.5x + 25y = 6,687.5 ... (ii)

    Subtracting (ii) - (i) we get;

    12.5y = 2687.5

    y = 215

    So the number of adults admitted = 215

    And the number of children admitted = 352 - 215 = 137
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