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13 May, 01:27

the admission fee at an amusement park is $20 for children and $35 for adults. on a certain day 247 people entered the park, and the admission fees collected totaled $6965. how many children and how many adults were admitted

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  1. 13 May, 02:27
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    Answer: 112 children & 135 adults

    Step-by-step explanation:

    # $

    Child: x 20x

    Adult: y 35y

    Total: 247 6965

    #: x + y = 247 → - 20 (x + y = 247) → - 20x - 20y = - 4940

    $: 20x + 35y = 6965 → 1 (20x + 35y = 6965) → 20x + 35y = 6965

    15y = 2025

    y = 135

    Substitute y = 135 into either of the original equations to solve for x:

    x + y = 247

    x + 135 = 247

    x = 112
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