document.write( "Question 396307: I need help with this question:\r
\n" ); document.write( "\n" ); document.write( "Your house can be painted by 2 persons in 8 days. How many extra persons should you hire if the job needs to be completed in 6 days?\r
\n" ); document.write( "\n" ); document.write( "If you can please help me with this question, that would be great.
\n" ); document.write( "Thank You!\r
\n" ); document.write( "\n" ); document.write( "Kind Regards,\r
\n" ); document.write( "\n" ); document.write( "Anonymouse Person Who Needs Help
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Algebra.Com's Answer #281152 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
This type of problem is about adding
\n" ); document.write( "the rates at which people work to get
\n" ); document.write( "the final rate at which the job is finished
\n" ); document.write( "You want an equation that looks like:
\n" ); document.write( "(fraction of job)/(time to do it) + (different fraction of job)/(time to do it)
\n" ); document.write( "= (1 whole job)/(time to do the whole job)
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\n" ); document.write( "You start out with 2 people working. What part of the job
\n" ); document.write( "does each one do in 8 days?
\n" ); document.write( "Each one can do 1/2 of the job in 8 days
\n" ); document.write( "Every additional person can be expected to do (1 job)/(16 days)
\n" ); document.write( "So far I've got:
\n" ); document.write( "\"%281%2F2%29%2F8+%2B+%281%2F2%29%2F8+%2B+x%2A%281%2F16%29+=+1%2F6\"
\n" ); document.write( "Note that \"x\" represents the number of extra persons to hire
\n" ); document.write( "\"%281%2F2%29%2F8+%2B+%281%2F2%29%2F8+%2B+x%2A%281%2F16%29+=+1%2F6\"
\n" ); document.write( "Multiply both sides by \"16\"
\n" ); document.write( "\"1+%2B+1+%2B+x+=+16%2F6\"
\n" ); document.write( "Multiply bopth sides by \"6\"
\n" ); document.write( "\"6+%2B+6+%2B+6x+=+16\"
\n" ); document.write( "\"6x+=+4\"
\n" ); document.write( "\"x+=+2%2F3\"
\n" ); document.write( "You can't hire 2/3 of a person. so 1 extra person must be hired
\n" ); document.write( "Hope I got it\r
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