document.write( "Question 1030790: Please help me understand how to solve these word problems. Not just get the answers but a better understanding.\r
\n" ); document.write( "\n" ); 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.
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Algebra.Com's Answer #645578 by rothauserc(4718)\"\" \"About 
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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
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\n" ); document.write( "1/5 + 1/x = 1/3
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\n" ); document.write( "multiply both sides of the = by 15x
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\n" ); document.write( "3x + 15 = 5x
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\n" ); document.write( "2x = 15
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\n" ); document.write( "x = 7.5
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\n" ); document.write( "It takes Rosa 7 1/2 hours to mow the lawn
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