Math LogicDate: 6/5/96 at 9:32:19 From: Jim Marone Subject: Math logic This is a problem about logic. Sally, Ron, Jim, and Meghan are President, VP, Treasurer, and Captain of the cheerleading squad, but not necessarily in that order. Who is what? Clues Sally loves money. Meghan thinks she could not handle a whole class Jim was elected Ron is Jim's partner Date: 6/14/96 at 0:49:40 From: Doctor Jeffrey Subject: Re: math logic Sally Treasurer Ron Vice President Jim President Meghan Captain This is how I got it: The first thing I did was make a chart (they usualy help with logic problems). The chart I made had the names in the rows and the positions in the columns. If I know that someone has a certain position, I put an o in that part of the chart. If I know that someone doesn't hold a certain position, I put an x there. This is the chart I started with: P V T C ------------------------- S | | | | | ------------------------- R | | | | | ------------------------- J | | | | | ------------------------- M | | | | | ------------------------- From this point I started using the clues. The first clue I used was the fact that Meghan wouldn't have gone for President since she didn't want to lead the whole class. After using this piece of information, the chart looks like this: P V T C ------------------------- S | | | | | ------------------------- R | | | | | ------------------------- J | | | | | ------------------------- M | x | | | | ------------------------- Next, since Sally loves money, she was probably the Treasurer. P V T C ------------------------- S | x | x | o | x | ------------------------- R | | | x | | ------------------------- J | | | x | | ------------------------- M | x | | x | | ------------------------- I was able to fill in the additional x's because I know Sally can only hold one position and only one person can be treasurer. Since Ron and Jim are partners they had better be the President and Vice President, so Meghan must be the Captain. So now it looks like this: P V T C ------------------------- S | x | x | o | x | ------------------------- R | | | x | x | ------------------------- J | | | x | x | ------------------------- M | x | x | x | o | ------------------------- This leaves President and Vice President for Ron and Jim. Since Presidents are elected and Vice Presidents are not, Jim must be President and Ron must be Vice President. -Doctor Jeffrey, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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