SOLUTION: How Do You Do This ? I Have No Clue And May You Please Give Me The Awnser I Have To Do 8 More Of These. What Is A Guess And Check Table? On Her Tour Of The World, Mrs. Poppingto

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Question 250049: How Do You Do This ? I Have No Clue And May You Please Give Me The Awnser I Have To Do 8 More Of These. What Is A Guess And Check Table?
On Her Tour Of The World, Mrs. Poppington Stopped In Chicago. The Tallest Building In Chicago Is The Sears Tower. A Clever Tour Guide Posed This Problem 417 Is 23 Less Than 4 Times The Number In The Story In The Sears Tower. How Many Stories Does The Tower Have? Use Guess And Check Table

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
guess and check table can be found by linking to this website.

http://home.avvanta.com/~math/guess.html

construct your table as follows:

             s             4*s             4*s-23             match 417?
            100            400             377                 too low
            200            800             777                 too high
            150            600             577                 too high
            125            500             477                 too high
            110            440             417                 match *********

I started at 100, then doubled it, then halved the difference, then halved the difference again, then took close to one half the distance, lowering my estimate if too high and raising it if too low.

Sears tower is 110 stories high.

Some interesting tidbits regarding tellest buildings in the world.

http://www.infoplease.com/ipa/A0001338.html

Another interesting tidbit from http://en.wikipedia.org/wiki/Willis_Tower

The tower has 108 stories as counted by standard methods, though the building's owners count the main roof as 109 and the mechanical penthouse roof as 110.