
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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January 22nd, 2013, 02:42 AM  #1 
Newbie Joined: Jan 2013 Posts: 2 Thanks: 0  Math Possibilities
Hello everyone. MY first time here Hope someone can help me this problem. Peter has fewer than 1000 cars. With that in the large parking lot he made 5 equal rows of cars and have one car left. He also made 4 equal rows of cars and also have one car left. He then made 9 equal rows of cars and didnt have any cars left. He can have six possibilities. So how many cars does he have? Thank you all , Marta 
January 22nd, 2013, 07:11 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,663 Thanks: 697  Re: Math Possibilities
81 or 261 or 441 or 621 or 801 or 981

January 22nd, 2013, 09:34 AM  #3 
Newbie Joined: Jan 2013 Posts: 2 Thanks: 0  Re: Math Possibilities
Denis thank you so much. But would you pls explain how you arrive to those numbers. Was there a formula used, short cut or how?

January 22nd, 2013, 02:49 PM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Math Possibilities Hello, Marta! Welcome aboard! Quote:
[color=beige]. . [/color](Do you see why?) [color=beige]. . [/color] [color=beige]. . . [/color]  
January 23rd, 2013, 08:02 AM  #5 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,590 Thanks: 936 Math Focus: Elementary mathematics and beyond  Re: Math Possibilities
N = 5a + 1 N = 4b + 1 0 = 5a  4b, a/b = 4/5 so b is a multiple of 5. Starting at 20, add 45 (smallest multiple of 5 divisible by 9): b, 4b + 1 20, 81 65, 261 110, 441 155, 621 200, 801 245, 981. 

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