document.write( "Question 1170548: Hi
\n" ); document.write( "The ratio of henry's eggs to Ivan's to Nellie's was 3;5;10 respectively. When nellie gave 56 eggs to be shared between Henry and ivan she found that the 3 had the same number of eggs. \r
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Algebra.Com's Answer #795397 by ikleyn(52878) $\"\"$ $\"About$

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\n" ); document.write( "The ratio of Henry's eggs to Ivan's to Nellie's was 3;5;10 respectively. When Nellie gave 56 eggs to be shared
\n" ); document.write( "between Henry and ivan she found that the 3 had the same number of eggs.
\n" ); document.write( "How many eggs did Nellie have left
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document.write( "They had initially/originally 3x, 5x and 10x  eggs, where x is some (unknown) integer number.\r\n" );
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document.write( "In all, they had originally  3x + 5x + 10x = 18x  eggs.\r\n" );
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document.write( "After exchange, they have equal number of eggs, equal to  18x/3 = 6x for everyone.\r\n" );
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document.write( "Hence, Henry obtained 6x-3x = 3x eggs;  Ivan obtained  6x-5x = x eggs from Nellie.\r\n" );
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document.write( "We know that the sum  3x + x = 4x is equal to 56:\r\n" );
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document.write( "    4x = 56.\r\n" );
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document.write( "Hence, x = 56/4 = 14  eggs.\r\n" );
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document.write( "ANSWER.  Nellie has  6x = 6*14 = 84 eggs left.\r\n" );
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