document.write( "Question 844535: A group of children share some dougnuts.if each child gets 4 pieces, there will be 2 extra doughnuts. if each child get 5 pieces, there will be 4 doughnuts short. how many doughnuts are there? \n" ); document.write( "

Algebra.Com's Answer #508814 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = the number of doughnuts
\n" ); document.write( "Let $\"+c+\"$ = the number of children
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+d%2Fc+=+4+%2B+2%2Fc+\"$ doughnuts/child
\n" ); document.write( "(2) $\"+d%2Fc+=+5+-+4%2Fc+\"$ doughnuts/child
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+d+=+4c+%2B+2+\"$
\n" ); document.write( "(2) $\"+d+=+5c+-+4+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+4c+%2B+2+=+5c+-+4+\"$
\n" ); document.write( " $\"+c+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+=+4c+%2B+2+\"$
\n" ); document.write( "(1) $\"+d+=+4%2A6+%2B+2+\"$
\n" ); document.write( "(1) $\"+d+=+26+\"$
\n" ); document.write( "There are 26 doughnuts
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d%2Fc+=+5+-+4%2Fc+\"$
\n" ); document.write( "(2) $\"+26%2F6+=+5+-+4%2F6+\"$
\n" ); document.write( "(2) $\"+26+=+30+-+4+\"$
\n" ); document.write( "(2) $\"+26+=+26+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d%2Fc+=+4+%2B+2%2Fc+\"$
\n" ); document.write( "(1) $\"+26%2F6+=+4+%2B+2%2F6+\"$
\n" ); document.write( "(1) $\"+26+=+24+%2B+2+\"$
\n" ); document.write( "(1) $\"+26+=+26+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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