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Topic: algebra 4 word problem
Replies: 6   Last Post: Nov 9, 2009 3:46 PM

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 sssmath1 Posts: 3 Registered: 5/13/09
Re: algebra 4 word problem
Posted: May 14, 2009 11:03 AM

I got the following using a 1 x 1 square Venn diagram. A vertical line at .65 divides heart disease (HD) patients from non-patients; HD patients are the two squares on the right, taking up 35%. A horizontal line at .6 divides fit people from unfit ones; fit people are the two top squares, taking up 60%.

From that, I get the following numbers (by multiplying the dimensions of each quarter, like finding the area of a square):

fit HD: 60% x 35% = 21%
unfit HD: 40% x 35% = 14%
fit, no HD: 60% x 65% = 39%
unfit, no HD: 40% x 65% = 26%

That adds up to 100%. The only problem is that the percent of HD due to being unfit doesn't equal 25%. Assuming a population of 100:

14 unfit w/HD divided by 35 total with HD = 40% HD due to unfitness.

The reason the 25% isn't represented is that it's not used in any of the four equations. Does anyone know how to integrate it? Or is it possible that the original word problem is logically impossible?

Date Subject Author
5/13/09 sssmath1
5/14/09 sssmath1
11/7/09 soundwonder2010
5/14/09 sssmath1
8/23/09 morteza