document.write( "Question 575628: This week a carpenter made some three-legged stools and some four-legged chairs. The total number of stools and chairs was 30, and the carpenter used 103 legs in all. How many chairs did the carpenter make? \n" ); document.write( "

Algebra.Com's Answer #369572 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+s+\"$ = number of stools
\n" ); document.write( "Let $\"+c+\"$ = number of chairs
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+s+%2B+c+=+30+\"$
\n" ); document.write( "(2) $\"+3s+%2B+4c+=+103+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$ ,
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+3s+%2B+4c+=+103+\"$
\n" ); document.write( "(1) $\"+-3s+-+3c+=+-90+\"$
\n" ); document.write( " $\"+c+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+s+%2B+c+=+30+\"$
\n" ); document.write( "(1) $\"+s+%2B+13+=+30+\"$
\n" ); document.write( "(1) $\"+s+=+30+-+13+\"$
\n" ); document.write( "(1) $\"+s+=+17+\"$
\n" ); document.write( "The carpenter made 17 stools and 13 chairs
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+3s+%2B+4c+=+103+\"$
\n" ); document.write( "(2) $\"+3%2A17+%2B+4%2A13+=+103+\"$
\n" ); document.write( "(2) $\"+51+%2B+52+=+103+\"$
\n" ); document.write( "(2) $\"+103+=+103+\"$
\n" ); document.write( "OK \n" ); document.write( "

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