document.write( "Question 1006273: It takes 3 hours to 4 adults to build a sand castle. It takes 4 hours to 6 children to build the same sand castle. How many hours will it take to 6 adults and 3 children to build a castle?\r
\n" ); document.write( "\n" ); document.write( "(I don't know where to start! - thank you)
\n" ); document.write( "

Algebra.Com's Answer #622429 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
1 adult will take 4 times as long to
\n" ); document.write( "build 1 sand castle, so
\n" ); document.write( "-----------------------
\n" ); document.write( "1 adult takes 12 hours to build 1 sand castle
\n" ); document.write( "-----------------------
\n" ); document.write( "1 child will take 6 times as long
\n" ); document.write( "to build 1 sand castle, so
\n" ); document.write( "------------------------
\n" ); document.write( "1 child takes 24 hours to build 1 sand castle
\n" ); document.write( "-----------------------
\n" ); document.write( "The rate of building for adults is:
\n" ); document.write( "[ 1 sand castle ] / [ 12 hr ]
\n" ); document.write( "-----------------------
\n" ); document.write( "The rate of building for children is:
\n" ); document.write( "[ 1 sand castle ] / [ 24 hr ]
\n" ); document.write( "-----------------------
\n" ); document.write( "Multiply these rates times people doing the work
\n" ); document.write( "and add the rates to get rate working together
\n" ); document.write( "Let \"+1%2Ft+\" = the rate of:
\n" ); document.write( "[ 1 sand castle ] / [ t hrs ]
\n" ); document.write( "------------------------
\n" ); document.write( "\"+6%2A%28+1%2F12+%29+%2B+3%2A%28+1%2F24+%29+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+24t+\"
\n" ); document.write( "\"+12t+%2B+3t+=+24+\"
\n" ); document.write( "\"+15t+=+24+\"
\n" ); document.write( "\"+t+=+1.6+\"
\n" ); document.write( "\"+.6%2A60+=+36+\"
\n" ); document.write( "6 adults and 3 children can build 1 sand castle
\n" ); document.write( "in 1 hr 36 min
\n" ); document.write( "------------------
\n" ); document.write( "Hope I got it -a 2nd opinion wouldn't hurt either
\n" ); document.write( "
\n" );