document.write( "Question 903859: To finish construction at a site, it would take 4 bulldozers and 3 shovels 2 days, and it take 5 bulldozers and 1 shovel 3 days. How many days does it take 1 bulldozers and 1 shovel? \n" ); document.write( "
Algebra.Com's Answer #548359 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the construction 1 job
\n" ); document.write( "--------------------------
\n" ); document.write( "Let \"+R%5B1%5D+\" = the rate of working
\n" ); document.write( "of a bulldozer in jobs / hour
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\n" ); document.write( "Let \"+R%5B2%5D+\" = the rate of working
\n" ); document.write( "of a shovel in jobs / hour
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\n" ); document.write( "(1) \"+4R%5B1%5D+%2B+3R%5B2%5D+=+1%2F2+\"
\n" ); document.write( "(2) \"+5R%5B1%5D+%2B+1%2AR%5B2%5D+=+1%2F3+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+3+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+15R%5B1%5D+%2B+3R%5B2%5D+=+1+\"
\n" ); document.write( "(1) \"+-4R%5B1%5D+-+3R%5B2%5D+=+-1%2F2+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "\"+11R%5B1%5D+=+1%2F2+\"
\n" ); document.write( "\"+R%5B1%5D+=+1%2F22+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+5R%5B1%5D+%2B+1%2AR%5B2%5D+=+1%2F3+\"
\n" ); document.write( "(2) \"+5%2F22+%2B+1%2AR%5B2%5D+=+1%2F3+\"
\n" ); document.write( "(2) \"+R%5B2%5D+=+1%2F3+-+5%2F22+\"
\n" ); document.write( "(2) \"+R%5B2%5D+=+22%2F66+-+15%2F66+\"
\n" ); document.write( "(2) \"+R%5B2%5D+=+7%2F66+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+R%5B1%5D+%2B+R%5B2%5D+=+1%2Ft+\"
\n" ); document.write( "\"+3%2F66+%2B+7%2F66+=+1%2Ft+\"
\n" ); document.write( "\"+10%2F66+=+1%2Ft+\"
\n" ); document.write( "\"+t+=+66%2F10+\"
\n" ); document.write( "\"+t+=+6.6+\" days
\n" ); document.write( "------------------
\n" ); document.write( "It takes 1 bulldozer and 1 shovel 6.6 days
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+4R%5B1%5D+%2B+3R%5B2%5D+=+1%2F2+\"
\n" ); document.write( "(1) \"+4%2A%283%2F66%29+%2B+3%2A%287%2F66%29+=+1%2F2+\"
\n" ); document.write( "(1) \"+12%2F66+%2B+21%2F66+=+33%2F66+\"
\n" ); document.write( "(1) \"+33%2F66+=+33%2F66+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(2) \"+5R%5B1%5D+%2B+1%2AR%5B2%5D+=+1%2F3+\"
\n" ); document.write( "(2) \"+5%2A%283%2F66%29+%2B+1%2A%287%2F66%29+=+1%2F3+\"
\n" ); document.write( "(2) \"+15%2F66+%2B+7%2F66+=+22%2F66+\"
\n" ); document.write( "(2) \"+22%2F66+=+22%2F66+\"
\n" ); document.write( "Ok
\n" ); document.write( "Hope I got it\r
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