Monday, July 3, 2017

Problem Solving

PUKES
A full jar of honey weighs 750 grams, and the same jar two-thirds full weighs 550 grams. What is the weight of the empty jar in grams?

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5 comments:

  1. AutolinkqatarJuly 18, 2017 at 12:58 AM

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  2. UnknownJuly 23, 2017 at 12:11 PM

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  3. UnknownSeptember 1, 2017 at 6:42 AM

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  4. UnknownSeptember 3, 2017 at 10:04 PM

    George Adu-Agyare
    9/4/2017
    Mod 1 AP Physics C

    We can separate the problem into 2 variables:

    the weight of the jar (Wj)
    the weight of the honey (Wh)

    we know that together, they weigh 750g, so we can write the equation:

    Wj+Wh=750g

    We also know that the same jar two-thirds full weighs 550g, obviously the only variable that would change is Wh.

    Wj+(2/3)Wh=550g

    Now we can do an algebraic system of equations.

    Wj+Wh=750g
    Wj+(2/3)Wh=550g
    -_____________________
    (1/3)Wh=200g---->Wh=600g

    Now that we know the weight of the honey, we can solve for the weight of the empty jar in grams

    Wj+Wh=750g
    Wh=600g
    Wj+600g=750g
    Wj=150g

    Therefore, the weight of the empty jar is 150g

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