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Ratio Word Problem

  1. Mar 7, 2005 #1
    An appliance store sells only two brands of refigerator. The ratio of the number of brand X refigerators sold at this store to the number of Brand Y refigerators sold is about 4 to 11. Of the next 100 refigerators the store sells, approximately how many will be brand Y?

    I don't know how to start this one.

    I wrote 100 = 4x + 11y

    However, I don't know how to solve a two variable equation.
     
    Last edited: Mar 7, 2005
  2. jcsd
  3. Mar 7, 2005 #2

    dextercioby

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    It is a perfectly sound 2 variable problem.U'll just to translate into equations whatever data the problem gives you.

    So if "x" and "y" are the 2 variables which denote the # of refrigerators sold,what are the 2 relations between them that the problem gives...?

    Daniel.
     
  4. Mar 7, 2005 #3
    That for every 4 of the X Brand, there are 11 of the Y Brand sold?
     
  5. Mar 7, 2005 #4

    dextercioby

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    That's one of them,of course.In elegant mathematical notation
    [tex] \frac{x}{y}=\frac{4}{11} [/tex]

    What's the other (obvious one) ...?

    Daniel.
     
  6. Mar 7, 2005 #5
    That in 100 refigerators are sold between the two?

    Or with the problem you gave me I cross multiplied which gave me 4y = 11x

    I'm not so sure. :frown:
     
  7. Mar 7, 2005 #6

    dextercioby

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    The problem says and i quote:"The ratio of the number of brand X refigerators sold at this store to the number of Brand Y refigerators sold is about 4 to 11".How would you transcribe that in math language...?

    And yes,the sum is 100:
    [tex] x+y=100 [/tex]

    Daniel.
     
  8. Mar 7, 2005 #7
    I would say that for every 4 brand X refigerators, there are 11 Brand Y refigerators sold.
     
  9. Mar 7, 2005 #8

    dextercioby

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    Yes,which is described in the ratio that i wrote.

    Daniel.
     
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