document.write( "Question 522921: 4 people can paint 3 walls in 36 minutes.\r
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document.write( "How many minutes will it take for 5 people to paint 10 walls? Round to the nearest minute.\r
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document.write( "Please show me how to arrive at the answer. \n" );
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Algebra.Com's Answer #347076 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Really problems like this are always fraction problems. \n" ); document.write( "What we try to find is the fractions that are multiplied to do \"1 whole job\". \n" ); document.write( "... \n" ); document.write( "The crew of 4 people can complete 3 walls in 36 minutes. \n" ); document.write( "The crew can paint 1 wall in 1/3 * 36 = 12 minutes. \n" ); document.write( "The crew does 1/12 of a wall per minute. \n" ); document.write( "Each person is 1/4 of the crew, so each person does 1/4*1/12 = 1/48 of a wall per minute. \n" ); document.write( "So, we know know that one person can do 1/48 of a wall per minute. \n" ); document.write( "5 people can do 5*1/48 = 5/48 of a wall per minute. \n" ); document.write( "So, in 48 minutes they can do 48 min * 5/48 wall/min = 5 walls. \n" ); document.write( "To do 10 walls will take: 2 * 48 min = 96 min. \n" ); document.write( "... \n" ); document.write( "or \n" ); document.write( "... \n" ); document.write( "We found that \"1 whole wall\" takes 12 minutes. \n" ); document.write( "In turn, this means they can do 1/12 of the job per minute. \n" ); document.write( "1/12 per minute * 12 minutes = 1 wall \n" ); document.write( "A crew of 5 is 1.25 more than a crew of 4, so they can paint 25% faster per minute. \n" ); document.write( "(5-4)/4 = 1/4 = .25 \n" ); document.write( "That means they can do 1 1/4 or 1.25 wall per 12 minutes. \n" ); document.write( "Instead of 12 minutes per wall, they can do 1 wall in 12/1.25 = 9.6 min. \n" ); document.write( "To do 10 walls will take 10*9.6 = 96 minutes. \n" ); document.write( " \n" ); document.write( " |