document.write( "Question 1045208: 2 men and 5 boys can do a piece of work in 4 days, while 4 men and 4 boys can do it in 3 days how long would it take one man alone to do it and how many days would it take one boy alone to do it? \n" ); document.write( "
Algebra.Com's Answer #660600 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
Alternative method is assign variables for each type of person's rate in units of JOB/DAYS, and this gives linear equations.\r
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\n" ); document.write( "\n" ); document.write( "x for one-boy rate
\n" ); document.write( "y for one-man rate\r
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\n" ); document.write( "\n" ); document.write( "\"system%28%282y%2B5x%294=1%2C%284y%2B4x%293=1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%2820x%2B8y=1%2C12x%2B12y=1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Elimination Method should be more comfortable to use for solving the system.
\n" ); document.write( "Multiply first equation by 3, and multiply second equation by 2.
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\n" ); document.write( "\"system%2860x%2B24y=3%2C24x%2B24y=2%29\"
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\n" ); document.write( "Subtract second equation from first equation, member by member.
\n" ); document.write( "\"system%28%2860x%2B24y%29-%2824x%2B24y%29=3-2%29\"
\n" ); document.write( "\"36x=1\"
\n" ); document.write( "\"highlight%28x=1%2F36%29\"
\n" ); document.write( "Remember, here the unit of work rate is \"JOBS%2FDAYS\", so this rate for ONE BOY means \"ONE JOB done in 36 DAYS\".\r
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\n" ); document.write( "\n" ); document.write( "You can use the same method for eliminating the x; but here, the best choice is return to \"system%2820x%2B8y=1%2C12x%2B12y=1%29\", but multiply first equation by 3; and multiply second equation by 5.\r
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\n" ); document.write( "You do it......
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