document.write( "Question 1030790: Please help me understand how to solve these word problems. Not just get the answers but a better understanding.\r
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document.write( "Working together, Aaron and Rosa can mow the lawn around the local library in 3 hours. Working alone Aaron can mow the lawn in 5 hours. Write and solve an equation to determine how long it would take Rosa to mow by herself. \n" );
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Algebra.Com's Answer #645578 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! Aaron mows the lawn in 5 hours, so he does 1/5 of the job per hour. Let x be the number of hours Rosa takes to mow the lawn, then \n" ); document.write( ": \n" ); document.write( "1/5 + 1/x = 1/3 \n" ); document.write( ": \n" ); document.write( "multiply both sides of the = by 15x \n" ); document.write( ": \n" ); document.write( "3x + 15 = 5x \n" ); document.write( ": \n" ); document.write( "2x = 15 \n" ); document.write( ": \n" ); document.write( "x = 7.5 \n" ); document.write( ": \n" ); document.write( "***************************************** \n" ); document.write( "It takes Rosa 7 1/2 hours to mow the lawn \n" ); document.write( "***************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |