document.write( "Question 1205868: Hi, So my question is:
\n" ); document.write( "A bag of lollies is shared. When shared equally among 4 people, there are 2 lollies left. When shared equally among 9 people, there are 5 lollies left. When shared equally among 7 people, there are 2 lollies left.
\n" ); document.write( "Determine the smallest possible number of lollies that could have been in the bag as well as the general solution.
\n" ); document.write( "I have tried a few different ways and get different answers.I either get 86 or 94. Can you help? Thank you \n" ); document.write( "

Algebra.Com's Answer #842938 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Let n be the smallest possible answer.\r\n" );
document.write( "Then there are positive integers p,q,r such that\r\n" );
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document.write( " with k positive, and small as possible\r\n" );
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document.write( "  Writing all integers in terms of their nearest multiple of\r\n" );
document.write( "              the smallest coefficient of a variable in absolute value. A\r\n" );
document.write( "              trick used in solving Diophantine equations.  \r\n" );
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document.write( "  dividing through by that coefficient 9.\r\n" );
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document.write( " Getting fractions together and setting equal to some\r\n" );
document.write( "                     integer A\r\n" );
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document.write( " the only value that makes k positive and small as possible\r\n" );
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document.write( "The answer is 86.\r\n" );
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document.write( "Edwin

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