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November 28th, 2010, 02:42 AM  #1 
Member Joined: Oct 2010 Posts: 43 Thanks: 0  Word problem
After the examination session was clear that group of very good grades of students passed the session is less than 4/33 the number of students in the group, but higher than 5/42 the total number of group. What is the minimum number of students could be in group?

November 28th, 2010, 12:36 PM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Word problem Hello, MIDI! Quote:
 
December 4th, 2010, 02:36 PM  #3 
Member Joined: Nov 2010 Posts: 34 Thanks: 0  Re: Word problem
i hate lcm

December 16th, 2010, 08:06 AM  #4 
Member Joined: Oct 2010 Posts: 43 Thanks: 0  Re: Word problem
But answer in book is 25.

December 16th, 2010, 06:28 PM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Word problem
Like soroban did, use the inequality: write in approximate decimal form: Now, we need a decimal in between the two decimals with the smallest denominator... Let thus, 25 is the smallest group that could have the required fractional portion satisfying the given conditions. 
December 19th, 2010, 08:02 AM  #6  
Member Joined: Oct 2010 Posts: 43 Thanks: 0  Re: Word problem Quote:
 
December 19th, 2010, 08:20 AM  #7 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Word problem 

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