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? asked in Science & MathematicsMathematics · 7 years ago

If you are up for a math challenge...?

This math problem is SUPER hard :/ me and my friends can't seem to think of a way to solve it

Help?:

Factory A used 68 more gallons of water than factory B. Factory C used 4 times as much water as Factory A. If the factories used a total of 484 gallons of water, how much water did FACTORY C use?

2 Answers

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  • Favorite Answer

    A = B + 68

    therefore

    B = A - 68

    C = 4A

    A + B + C = 484

    A + (A - 68) + 4A = 484

    6A - 68 = 484

    3A - 34 = 242

    3A = 276

    A = 92

    C = 4A

    C = 4 * 92

    C = 368

  • 7 years ago

    Put the word problems into numbers

    Factory A = a

    Factory B = b

    Factory C = c

    a = 68 + b (A used 68 more(+) than B)

    c = 4a       (C used 4 times (*) more than a)

    a + b + c = 484 ( if the factories total(=) to 484)

    so

    substitute a for what it is equal to

    substitute c for what it is equal to, then substitute 4a with what it is equal to

    (68 + b) + b + 4(68 + b) = 484

    68 + 2b + 272 + 4b

    340 + 6b = 484

    - 340

    6b = 144

    ----------

       6

    b = 12

    plug in

    c = 4a

    a = 68 + b

    4(68+24)

    = 368

    Factory C used 368 gallons

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