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29 April, 19:45

One 8-oz serving each of coffee, energy drink, and soda contains 199 mg of caffeine. One serving of coffee has 11 mg more caffeine than two serving of soda. One serving of energy drink contains 33 less caffeine than one serving each of soda and coffee. Find the amount of caffeine in one serving of each beverage

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  1. 29 April, 19:53
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    soda = 35mg

    coffee = 81mg

    energy = 83mg

    Step-by-step explanation:

    coffee + energy + soda = 199

    coffee = 11 + (2 * soda)

    energy = (soda + coffee) - 33

    (11 + (2 * soda)) + ((soda + (11 + (2 * soda))) - 33) + soda = 199

    11 + 2s + s + 11 + 2s - 33 + s = 199

    22 + 6s - 33 = 199

    -11 + 6s = 199

    6s = 210

    s = 35

    soda = 35mg

    c = 11 + 2s

    c = 11 + 2 (35)

    c = 11 + 70

    c = 81

    coffee = 81mg

    e = s + c - 33

    e = (35) + (81) - 33

    e = 116 - 33

    e = 83

    energy = 83mg
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