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Thread: Are there different types of ratios?

  1. #1

    Are there different types of ratios?

    There was this question that I got wrong that asked:

    The eggs in a certain basket are either white or brown. If the ratio of the number of white eggs to the number of brown eggs is 2/3, each of the following could be the number of eggs in the basket EXCEPT:
    10
    12
    15
    30
    60

    I answered 10 thinking that 2/3 * (answer) should give an integer. WRONG
    The answer is 12.
    So the ratio must have been 2 to 3 in the sense that 2+3 is 5 so the answer must be divisible by 5.

    BUT how do I know whether the ratio is in the sense that x+y should be divisible by the answer or x/y should be divisible...

    I am really looking forward to getting some replies because I am stuck

  2. #2
    Senior Member
    Join Date
    Aug 2010
    Posts
    1,974
    Quote Originally Posted by IBstudent View Post
    There was this question that I got wrong that asked:

    The eggs in a certain basket are either white or brown.
    If the ratio of the number of white eggs to the number of brown eggs is 2/3,
    each of the following could be the number of eggs in the basket EXCEPT:
    10
    12
    15
    30
    60

    I answered 10 thinking that 2/3 * (answer) should give an integer. WRONG
    The answer is 12.
    So the ratio must have been 2 to 3 in the sense that 2+3 is 5 so the answer must be divisible by 5.

    BUT how do I know whether the ratio is in the sense that x+y
    Try using the same (meaning: one) variable as I have shown below.

    should be divisible by the answer or x/y should be divisible...

    I am really looking forward to getting some replies because I am stuck
    [tex]\dfrac{white \ \ eggs}{brown \ \ eggs} \ = \ \dfrac{2}{3}[/tex]


    Suppose you have this:

    Let 2x = the number of white eggs

    Then 3x = the number of brown eggs

    The total number of eggs is 5x.

    You care about this total being a positive multiple of 5,
    beginning with the multiple being 10 (from the multiple choice selections).

  3. #3
    Elite Member
    Join Date
    Jun 2007
    Posts
    12,980
    Quote Originally Posted by IBstudent View Post
    There was this question that I got wrong that asked:

    The eggs in a certain basket are either white or brown. If the ratio of the number of white eggs to the number of brown eggs is 2/3, each of the following could be the number of eggs in the basket EXCEPT:
    10
    12
    15
    30
    60

    I answered 10 thinking that 2/3 * (answer) should give an integer. WRONG
    The answer is 12.
    So the ratio must have been 2 to 3 in the sense that 2+3 is 5 so the answer must be divisible by 5.

    BUT how do I know whether the ratio is in the sense that x+y should be divisible by the answer or x/y should be divisible...

    I am really looking forward to getting some replies because I am stuck
    Your logic and answer would have been correct - if you were looking for # not possible for brown eggs.
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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