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15 December, 18:18

Three bags of wheat, two bags of corn, and one bag of oats weigh the same as one bag of wheat, one bag of corn and five bags of oats. If two bags of corn and one bag of oats weighs 26 pounds, and one bag of corn weighs 10 pounds, how much does one bag of wheat weigh?

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  1. 15 December, 18:44
    0
    A bag of wheat equals 7 pounds
  2. 15 December, 18:45
    0
    X = wheat, y = corn, z = oats

    3x + 2y + z = x + 5z

    2y + z = 26

    y = 10 ... corn weighs 10 lbs

    2y + z = 26

    2 (10) + z = 26

    20 + z = 26

    z = 26 - 20

    z = 6 ... oats weigh 6 lbs

    3x + 2y + z = x + 5z

    3x + 2 (10) + 6 = x + 5 (6)

    3x + 26 = x + 30

    3x - x = 30 - 26

    2x = 4

    x = 4/2

    x = 2 < = = = wheat weighs 2 lbs
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