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Math Help - Percent contained

  1. #1
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    Percent contained

    Lets say we are looking at a neighborhood with a price range of $200-270.

    Now we are looking at two other neighborhoods with a price range of $200-249 and $250-299.

    1. What percent of 200-270 is contained within 200-249?
    2. What percent of 200-270 is contained within 250-299?

    e.g. 200-249 contains roughly 5/7 or 71% of 200-270$

    My co worker says the answers are
    1. 71%
    2. 29%

    Would some one please explain?
    Last edited by allyourbass2212; November 10th 2009 at 11:05 AM.
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  2. #2
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    Quote Originally Posted by allyourbass2212 View Post
    Lets say we are looking at a neighborhood with a price range of $200-270.

    Now we are looking at two other neighborhoods with a price range of $200-249 and $250-299.

    1. What percent of 200-270 is contained within 200-249?
    2. What percent of 200-270 is contained within 250-299?

    e.g. 200-249 contains roughly 5/7 or 71% of 200-270$

    My co worker says the answers are
    1. 71%
    2. 29%

    Would some one please explain?
    Hi allyourbass2212,

    It would seem to me that you are trying to find the ratio of the overlapping parts to the total parts.

    1. 200 to 249 contains 50 parts while 200 to 270 contains 70 parts. The overlap is 50. The ratio is 5/7.

    Code:
     
    200---------------------------270
    200-------------249
    2. 250 to 299 contains 50 parts, but 200 to 270 only overlaps by 20. So, the ratio would be 2/7

    Code:
     
    200---------------------------270
                       250---------------------------299
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