document.write( "Question 1197358: If Carmen distributes the pieces of a cake to 7 classmates, she has 2 left over, but if she distributes them to her 6 brothers, she does not have any left over. What is the minimum number of pieces that the cake has? \n" ); document.write( "

Algebra.Com's Answer #830581 by ikleyn(52835) $\"\"$ $\"About$

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\n" ); document.write( "If Carmen distributes the pieces of a cake to 7 classmates, she has 2 left over,
\n" ); document.write( "but if she distributes them to her 6 brothers, she does not have any left over.
\n" ); document.write( "What is the minimum number of pieces that the cake has?
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document.write( "They want you find the minimum positive integer number, multiple of 6,\r\n" );
document.write( "which gives the remainder 2 when divided by 7.\r\n" );
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document.write( "The shortest way to get the solution/answer is to apply the \"trial and error\" method\r\n" );
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document.write( "     6 gives the remainder 6 when divided by 7. So  6 is not the solution.\r\n" );
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document.write( "    12 gives the remainder 5 when divided by 7. So 12 is not the solution.\r\n" );
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document.write( "    18 gives the remainder 4 when divided by 7. So 18 is not the solution.\r\n" );
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document.write( "    24 gives the remainder 3 when divided by 7. So 24 is not the solution.\r\n" );
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document.write( "    30 gives the remainder 2 when divided by 7. So 30 is the solution.\r\n" );
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document.write( "ANSWER.  The minimum number of pieces Carmen has is 30.\r\n" );
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