document.write( "Question 1113180: An employment agency specializing in temporary construction help pays heavy equipment operators $129 per day and general laborers $92 per day. if 39 people were hired and the payroll was $4624, how many heavy equipment operators were employed? how many laborers? \n" ); document.write( "

Algebra.Com's Answer #728179 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of h.e.o. hired
\n" ); document.write( "Let $\"+b+\"$ = number of laborers hired
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+39+\"$
\n" ); document.write( "(2) $\"+129a+%2B+92b+=+4624+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+92+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+129a+%2B+92b+=+4624+\"$
\n" ); document.write( "(1) $\"+-92a+-+92b+=+-3588+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( " $\"+37a+=+1036+\"$
\n" ); document.write( " $\"+a+=+28+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+39+\"$
\n" ); document.write( "(1) $\"+28+%2B+b+=+39+\"$
\n" ); document.write( "(1) $\"+b+=+11+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "28 h.e.o's were hired
\n" ); document.write( "11 laborers were hired
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+129a+%2B+92b+=+4624+\"$
\n" ); document.write( "(2) $\"+129%2A28+%2B+92%2A11+=+4624+\"$
\n" ); document.write( "You can finish
\n" ); document.write( " \n" ); document.write( "

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