document.write( "Question 1044685: When the eggs in a basket are grouped into 2,3, or 5 , there is always one extra. What is the least number of eggs for this grouping to be done? \n" ); document.write( "

Algebra.Com's Answer #660047 by ikleyn(52852) $\"\"$ $\"About$

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\n" ); document.write( "When the eggs in a basket are grouped into 2,3, or 5 , there is always one extra.
\n" ); document.write( "What is the least number of eggs for this grouping to be done?
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document.write( "Let N be the unknown number of eggs.\r\n" );
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document.write( "Let us take one egg off. Then we will have N-1 eggs, and N-1 will be multiple of 2, 3, and 5.\r\n" );
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document.write( "The least such a multiple is 2*3*5 = 30.\r\n" );
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document.write( "Hence, N-1 = 30.\r\n" );
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document.write( "Then N = 31.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See similar problem in the lesson\r
\n" ); document.write( "\n" ); document.write( " - The number that leaves a remainder 1 when divided by 2, by 3, by 4, by 5 and so on until 9\r
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