document.write( "Question 776616: At West Point, the \"plebe\" (first year cadet\" who brings dessert to the table must divide it into pieces that are exactly the size requested by the cadets at the table. One night, the two seniors assigned to the table requested 1/6 of the pie and 1/5 of the pie, respectively. How much of the pie did that leave for the younger cadets? \n" ); document.write( "

Algebra.Com's Answer #473661 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+r+\"$ = the remainder of the pie
\n" ); document.write( " $\"+1%2F6+%2B+1%2F5+%2B+r+=+1+\"$
\n" ); document.write( "where $\"+1+\"$ is the whole pie
\n" ); document.write( "Multiply both sides by $\"+30+\"$
\n" ); document.write( " $\"+5+%2B+6+%2B+30r+=+30+\"$
\n" ); document.write( " $\"+30r+=+30+-+11+\"$
\n" ); document.write( " $\"+30r+=+19+\"$
\n" ); document.write( " $\"+r+=+19%2F30+\"$
\n" ); document.write( "There is 19/30 of the pie left
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F6+%2B+1%2F5+%2B+r+=+1+\"$
\n" ); document.write( " $\"+5%2F30+%2B+6%2F30+%2B+19%2F30+=+1+\"$
\n" ); document.write( " $\"+30%2F30+=+1+\"$
\n" ); document.write( " $\"+1+=+1+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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