document.write( "Question 437909: 3. Six adults can complete a piece of work in one day while 5 children would take 2 days to complete the same piece of work. Using this ratio, think about the following problem. Forty-four adults can build a tower in 5 days. How long will 40 adults and 80 children take to build a tower? \n" ); document.write( "
Algebra.Com's Answer #302942 by josmiceli(19441)\"\" \"About 
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1 child would take 10 days to do a job
\n" ); document.write( "1 adult would take 6 days to do a job
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\n" ); document.write( "Building the tower, let \"R%5Bc%5D\" = the rate that
\n" ); document.write( "children work.
\n" ); document.write( "Let \"R%5Ba%5D\" = the rate that an adult works
\n" ); document.write( "44 adults in 5 days to build a tower
\n" ); document.write( "is \"+1%2F220\" adults/day to build a tower
\n" ); document.write( "\"+R%5Ba%5D%2FR%5Bc%5D+=+10%2F6+\"
\n" ); document.write( "\"+R%5Ba%5D%2FR%5Bc%5D+=+%281%2F220%29+%2F+R%5Bc%5D+\"
\n" ); document.write( "\"+10%2F6+=+%281%2F220%29+%2F+R%5Bc%5D+\"
\n" ); document.write( "\"+R%5Bc%5D+=+%286%2F10%29%2A%281%2F220%29+\"
\n" ); document.write( "\"+R%5Bc%5D+=+3%2F1100+\"
\n" ); document.write( "The rate for 40 adults is \"+40%2AR%5Ba%5D+=+40%2F220+\"
\n" ); document.write( "The rate for 80 children is \"+80%2AR%5Bc%5D+=+240%2F1100+\"
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\n" ); document.write( "Add the rates to get their rate working together
\n" ); document.write( "\"+40%2F220+%2B+240%2F1100+=+1%2Fd+\" (1 tower in d days)
\n" ); document.write( "\"+2%2F11+%2B+12%2F55+=+1%2Fd+\"
\n" ); document.write( "Multiply both sides by \"55d\"
\n" ); document.write( "\"+10d+%2B+12d+=+55+\"
\n" ); document.write( "\"+22d+=+55+\"
\n" ); document.write( "\"+2d+=+5+\"
\n" ); document.write( "\"+d+=+2.5+\"
\n" ); document.write( "It will take 50 adults and 80 children 2.5 days to build a tower
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