document.write( "Question 256112: a union contract requires at least one union steward for every 20 union employees or fraction thereof. regular union employees ear $120/day and union stewards earn $144/day. a company has a need for 50 total employees and has a daily payroll budget of $6072. how many of each type of employee will meet the company's needs and consume all the budget? \n" ); document.write( "

Algebra.Com's Answer #188275 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = number of union stewards
\n" ); document.write( "Let $\"u\"$ = number of union employees
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"120u+%2B+144s+=+6072\"$
\n" ); document.write( "(2) $\"u+%2B+s+=+50\"$
\n" ); document.write( "(3) $\"s+%3E+u%2F20\"$
\n" ); document.write( "From (2), $\"s+=+50+-+u\"$
\n" ); document.write( "From (1), $\"120u+%2B+144%2A%2850+-+u%29+=+6072\"$
\n" ); document.write( " $\"120u+%2B+7200+-+144u+=+6072\"$
\n" ); document.write( " $\"-24u+=+-1128\"$
\n" ); document.write( " $\"u+=+47\"$
\n" ); document.write( "And, from (2) again,
\n" ); document.write( " $\"s+=+50-+u\"$
\n" ); document.write( " $\"s+=+50+-+47\"$
\n" ); document.write( " $\"s+=+3\"$
\n" ); document.write( "From (3)
\n" ); document.write( " $\"s+%3E+u%2F20\"$
\n" ); document.write( " $\"3+%3E+47%2F20\"$
\n" ); document.write( " $\"3+%3E+2.35\"$
\n" ); document.write( "All conditions are satisfied if there are 3 stewards and 47 union employees \n" ); document.write( "

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