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Thread: Mixed Nuts

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    5 Star Lounger
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    Mixed Nuts

    In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2.
    How many pounds of cashews will there be in 4 pounds of this mixture?

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    4 Star Lounger access-mdb's Avatar
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    I think it's
    to the nearest something or other

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    Nice work...and close enough.

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    Super Moderator BATcher's Avatar
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    Really simple, surely?
    BATcher

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    4 Star Lounger access-mdb's Avatar
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    Might be simple to you, but I can't even remember how I got the answer. Now where's my slate and chalk.....?

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    I did it in my head, got 1.14...4/7=.57*2=1.14
    Batcher, you used some intuitive shorthand that eludes me.

    ok, figured it out, but still wasn't intuitive for me eh (same math, different arrangement)!
    Last edited by F.U.N. downtown; 2013-08-03 at 20:19.

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    Bronze Lounger Maudibe's Avatar
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    I must have used the same technique as the BATcher by using a proportional ratio and cross multiplying.

    ratio.png

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    BATcher (2013-08-04)

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    Silver Lounger mrjimphelps's Avatar
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    There was a time in my life when I could actually make some progress with these types of problems.

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    Maud's illustration is great. In proportional-type problems, the key is to determine the base unit or factor or multiplier
    (in this case 5+2 = 7). So, in a 7-unit (pounds) mix, 2 are cashews or 2/7, and 2/7 is the same as X to 4 units (pounds).

    Similarly, if a trio plays a concert and gets paid in the ratio of 2:3:4, and they earn a total of $27,000, how much will each receive? The base unit is 2+3+4 = 9. Therefore, 27,000/9 = 3,000 (our factor). So, 2x3000, 3x3000, and 4x3000. HTH.

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    Super Moderator BATcher's Avatar
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    Your musicians get paid $27K for a concert?
    Cue exodus of all UK musicians...
    BATcher

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