document.write( "Question 357851: A woman with a basket of eggs finds that if she removes
\n" ); document.write( "the eggs from the basket 3 or 5 at a time, there is always 1
\n" ); document.write( "egg left. However, if she removes the eggs 7 at a time,
\n" ); document.write( "there are no eggs left. If the basket holds up to 100 eggs,
\n" ); document.write( "how many eggs does she have? Explain your reasoning. \n" ); document.write( "

Algebra.Com's Answer #255484 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A woman with a basket of eggs finds that if she removes
\n" ); document.write( "the eggs from the basket 3 or 5 at a time, there is always 1
\n" ); document.write( "egg left. However, if she removes the eggs 7 at a time,
\n" ); document.write( "there are no eggs left. If the basket holds up to 100 eggs,
\n" ); document.write( ":
\n" ); document.write( "We know that the no. of eggs is a multiple of 7
\n" ); document.write( "The units digit is 1 or 6, because of the 5
\n" ); document.write( "That leaves 21, 56, 91
\n" ); document.write( "the 3 tell us it has to be 91 eggs \n" ); document.write( "

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