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20 October, 06:58

sylvia is carrying two bags of potatos, bag A and bag B. the weight of bag B is 3 pounds more than twice the weight of both bags of potatoes is 27 pounds. find the weight of each bag of potatos

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Answers (2)
  1. 20 October, 07:09
    0
    Answer: Hello!

    There are two bags:

    you write: "the weight of bag B is 3 pounds more than twice the weight of both bags of potatoes is 27 pounds."

    this has no sense, I think you want to write something like:

    "The weight of bag B is 3 pounds more than the weight of bag A, and twice the weight of both bags of potatoes is 27 pounds.

    If we define B as the wheight of bag B, and A as the wight of bag A; we know that:

    B - A = 3lb

    2 (B + A) = 27lb

    in the first equation we can isolate B as: B = 3lb + A, and then replace it in the second equation:

    2 (B + A) = 27lb

    2 ((3lb + A) + A) = 27lb

    6lb + 3A = 27lb

    3A = 27lb - 6lb = 21lb

    A = 21lb/3 = 7lb

    now we can replace it in the first equation and get:

    B - A = 3lb

    B - 7lb = 3lb

    B = 3lb + 7lb = 10lb

    Then Bag A weights 7lb and bag B weights 10lb.
  2. 20 October, 07:17
    0
    since there are two bags and theyre equal in weight, you have to subtract 3 then divide by 2.
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