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Math Help - Glass/Water problem

  1. #1
    Senior Member
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    Glass/Water problem

    Sarah notices her glass is 6/7 full. She pours 4/5 of its content into an empty jug.

    1) What fraction of her glass is then full?

    I got 6/35 but cannot remember how. Could someone please explain, i did this ages ago and forgot...

    2) Arjun pours the contents of the jug into his glass, which is 4/3 times bigger then Sarah's glass. What fraction of Arjun's glass is then full?

    Again I got 18/35 but forgot how I got to that answer...

    Any help would be much appreciated.

    Many thanks,

    Natasha
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  2. #2
    MHF Contributor
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    Re: Glass/Water problem

    Quote Originally Posted by Natasha1 View Post
    Sarah notices her glass is 6/7 full. She pours 4/5 of its content into an empty jug.

    1) What fraction of her glass is then full?

    I got 6/35 but cannot remember how. Could someone please explain, i did this ages ago and forgot...

    2) Arjun pours the contents of the jug into his glass, which is 4/3 times bigger then Sarah's glass. What fraction of Arjun's glass is then full?

    Again I got 18/35 but forgot how I got to that answer...

    Any help would be much appreciated.

    Many thanks,

    Natasha
    1) you start with 6/7. You remove 4/5 of that leaving 1/5 of it. 1/5 * 6/7 = 6/35

    2) the contents of the jug was 4/5 * 6/7 of Natasha's jug = 24/35 of that jug.

    Arjun's jug is 4/3 times bigger so it fills 3/4 * 24/35 = 18/35 of Arjun's jug.
    Thanks from Natasha1
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  3. #3
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    Re: Glass/Water problem

    Thanks
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