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    fabian2000's Avatar
    fabian2000 Posts: 1, Reputation: 1
    New Member
     
    #1

    Oct 10, 2011, 02:29 PM
    Math word problmes
    "I have 32 leaves, elm maple and oak. I have 2 times as many maple leaves as elm leaves and 5 times as manu oak leaves as elm leaves how many do I have of each?"
    Curlyben's Avatar
    Curlyben Posts: 18,514, Reputation: 1860
    BossMan
     
    #2

    Oct 10, 2011, 02:32 PM
    So this is a simple case of some equations and then simplification.
    Do you know what the equations should be ?
    The statements give you 3 equations that just need solving.

    I'll give you the first one.
    hidden123's Avatar
    hidden123 Posts: 153, Reputation: 51
    Junior Member
     
    #3

    Oct 11, 2011, 02:07 PM
    5x + 2x = 32
    10x = 32..
    3.2 leaves for each?



    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #4

    Oct 12, 2011, 02:27 AM
    Ratio of maple:elm = 2:1
    oak:elm = 5:1

    Combined, they become = 2:1:5 (for maple:elm:oak)

    For a total of 8 parts.

    Hence, maple = 2/8*32
    elm = 1/8*32
    oak = 5/8*32
    hidden123's Avatar
    hidden123 Posts: 153, Reputation: 51
    Junior Member
     
    #5

    Oct 12, 2011, 06:50 AM
    I was wrong... here's the equation:

    Let x be the number of elm leaves. Then 2x is the number of maple leaves because you have twice as many. 5x is the number of oak leaves because you have 5 times as many. So... The total number of leaves is x + 2x + 5x = 32, or 8x = 32. 32 divided by 8 is 4 so x is 4 and you have 4 elm leaves (x, remember?) 8 maple (2x) and 20 oak (5x)

    Makes sense?
    hidden123's Avatar
    hidden123 Posts: 153, Reputation: 51
    Junior Member
     
    #6

    Oct 12, 2011, 06:53 AM
    Unknown008 - you did it in a totally different way - and you have the same result. Cool :)

    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #7

    Oct 12, 2011, 06:56 AM
    Yes, sometimes the easy 6th grade ratio is forgotten :)

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