document.write( "Question 890422: If 3 students sit on each bench then one student will be left. IF 4 students sit on each bench one bench will be left . Find number of students and number of benches in the class. \n" ); document.write( "

Algebra.Com's Answer #538983 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+b+\"$ = the number of benches
\n" ); document.write( "Let $\"+s+\"$ = the number of students
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) $\"+s+%2F+3+=+b+%2B+1%2F3+\"$
\n" ); document.write( "(2) $\"+b+=+s%2F4+%2B+1+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+s+=+3b+%2B+1+\"$
\n" ); document.write( "(2) $\"+4b+=+s+%2B+4++\"$
\n" ); document.write( "-------------------
\n" ); document.write( "(1) $\"+s+-+3b+=+1+\"$
\n" ); document.write( "(2) $\"+-s+%2B+4b+=+4+\"$
\n" ); document.write( "Add the equations
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+b+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+s+=+3%2A5+%2B+1+\"$
\n" ); document.write( "(1) $\"+s+=+16+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "There are 16 students and 5 benches
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "( 3 students )x( 5 benches ) = ( 15 students ) + ( 1 extra student )
\n" ); document.write( "and
\n" ); document.write( "( 16 students ) / ( 4 students per bench ) = ( 5 benches ) - ( 1 extra bench )
\n" ); document.write( "Hope this helps\r
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