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
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document.write( "(I don't know where to start! - thank you) \n" );
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Algebra.Com's Answer #622429 by josmiceli(19441)![]() ![]() 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 \n" ); document.write( "[ 1 sand castle ] / [ t hrs ] \n" ); document.write( "------------------------ \n" ); document.write( " \n" ); document.write( "Multiply both sides by \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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( " |