document.write( "Question 930244: Hi,\r
\n" ); document.write( "\n" ); document.write( "How would I work this out - need to understand the steps in simple terms not just the answer (very new to algebra):\r
\n" ); document.write( "\n" ); document.write( "Smith industries has 50 workers. Yellow workers are paid $600 per week and red workers are paid $1000 per week. Smith industries weekly payroll is $42,000. How many red workers does Smith industries have?\r
\n" ); document.write( "\n" ); document.write( "Thank You! \n" ); document.write( "

Algebra.Com's Answer #564783 by algebrahouse.com(1659) $\"\"$ $\"About$

You can put this solution on YOUR website!
y = number of yellow workers
\n" ); document.write( "50 - y = number of red workers {there are 50 total workers employed}\r
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\n" ); document.write( "\n" ); document.write( "600y + 1000(50 - y) = 42,000 {number of workers times price of worker equals total payout}
\n" ); document.write( "600y + 50,000 - 1000y = 42,000 {used distributive property}
\n" ); document.write( "-400y + 50,000 = 42,000 {combined like terms}
\n" ); document.write( "-400y = -8,000 {subtracted 50,000 from each side}
\n" ); document.write( "y = 20 {divided each side by -400}
\n" ); document.write( "50 - y = 30 {substituted 20, in for y, into 50 - y}\r
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\n" ); document.write( "\n" ); document.write( "there are 30 red workers {50 - y represented red workers}
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