Venn Diagram: Goops, Gorps, GorgsDate: 09/19/2002 at 00:03:47 From: Regina Subject: Brain teaser Every Goop is a Gorp. Half of all Gorgs are Gorps. Half of all Gorps are Goops. There are 40 Gorgs and 30 Goops. No Gorg is a Goop. How many Gorps are neither Goops nor Gorgs? Is the answer zero? Date: 09/19/2002 at 12:25:28 From: Doctor Peterson Subject: Re: Brain teaser Hi, Regina. Draw a circle representing the Goops. Draw another circle around this for the Gorps; we put the Goops entirely inside the Gorps because all Goops are Gorps. Now notice that no Gorgs are Goops. Where should we draw the circle for the Gorgs? Now you have a Venn diagram for the problem, and can start filling in numbers, using the given numbers and ratios. For fun, here's my version: +---------------------+ | gorps | | +-------+ +-------|-------+ | | goops | | gorgs | 40 | | 30 | | 20 | 20 | | +-------+ +-------|-------+ | 10 | +---------------------+ If you have any further questions, feel free to write back. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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