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Summer Clouds moderators

15/11/2017 at 08:36
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Kathy ate one-eighth of the jelly beans in a jar, and Sue ate one-fifth of the rest. Pat ate twice as many jelly beans as Kathy and Sue combined, and then Drew ate the rest. What is the ratio of the number of jelly beans Drew ate to the number of jelly beans Pat ate? Express your answer as a common fraction.




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  • ...
    Cậu Bé Ngu Ngơ 15/11/2017 at 12:40

    Let a be the number of jelly beans in the jar.

    After Kathy ate, the jar had a−18a=78aa−18a=78a.

    Sue ate : 78a×15=740a78a×15=740a

    After Sue ate, the jar had : 78a−740a=710a78a−740a=710a

    Kathy and Sue ate : a−710a=310aa−710a=310a

    Pat ate : 310a×2=35a310a×2=35a

    Drew ate : 710a−35a=110a710a−35a=110a

    The answer is : 110a:35a=16

  • ...
    Phan Thanh Tinh Coordinator 15/11/2017 at 11:50

    Let a be the number of jelly beans in the jar.

    After Kathy ate, the jar had \(a-\dfrac{1}{8}a=\dfrac{7}{8}a\).

    Sue ate : \(\dfrac{7}{8}a\times\dfrac{1}{5}=\dfrac{7}{40}a\)

    After Sue ate, the jar had : \(\dfrac{7}{8}a-\dfrac{7}{40}a=\dfrac{7}{10}a\)

    Kathy and Sue ate : \(a-\dfrac{7}{10}a=\dfrac{3}{10}a\)

    Pat ate : \(\dfrac{3}{10}a\times2=\dfrac{3}{5}a\)

    Drew ate : \(\dfrac{7}{10}a-\dfrac{3}{5}a=\dfrac{1}{10}a\)

    The answer is : \(\dfrac{1}{10}a:\dfrac{3}{5}a=\dfrac{1}{6}\)


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