document.write( "Question 762875: A man is paid P300 for each day he works and forfeits P80 for each day he is idle. At the end of 20 days he nets P5680. How many days did he work? \n" ); document.write( "

Algebra.Com's Answer #464262 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = number of days he worked
\n" ); document.write( " $\"+20+-+x+\"$ = the number of days he was idle
\n" ); document.write( "-----------------
\n" ); document.write( "given:
\n" ); document.write( " $\"+5680+=+300x+-+80%2A%28+20+-+x+%29+\"$
\n" ); document.write( " $\"+5680+=+300x+-+1600+%2B+80x+\"$
\n" ); document.write( " $\"+380x+=+5680+%2B+1600+\"$
\n" ); document.write( " $\"+380x+=+7280+\"$
\n" ); document.write( " $\"+x+=+19.158+\"$
\n" ); document.write( "He worked 19.158 days
\n" ); document.write( "check:
\n" ); document.write( " $\"+5680+=+300x+-+80%2A%28+20+-+x+%29+\"$
\n" ); document.write( " $\"+5680+=+300%2A19.158+-+80%2A%28+20+-+19.158+%29+\"$
\n" ); document.write( " $\"+5680+=+5747.368+-+80%2A.842+\"$
\n" ); document.write( " $\"+5680+=+5747.368+-+67.36+\"$
\n" ); document.write( " $\"+5680+=+5680.008+\"$
\n" ); document.write( "OK -error must be due to rounding off
\n" ); document.write( " \n" ); document.write( "

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