document.write( "Question 505239: clarissa can clean a house in 10 days. shawna can clean a house in 15 days. how many days do they take to clean the house together? \n" ); document.write( "

Algebra.Com's Answer #339831 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of cleaning
\n" ); document.write( "Clarissa's rate: 1 house / 10 days
\n" ); document.write( "Shawna's rate: 1 house / 15 days
\n" ); document.write( "Rate working together: 1 house / x days
\n" ); document.write( "Add the rates:
\n" ); document.write( " $\"+1%2F10+%2B+1%2F15+=+1%2Fx+\"$
\n" ); document.write( "Multiply both sides by $\"+30x+\"$
\n" ); document.write( " $\"+3x+%2B+2x+=+30+\"$
\n" ); document.write( " $\"+5x+=+30+\"$
\n" ); document.write( " $\"+x+=+6+\"$
\n" ); document.write( "Working together, it takes them 6 days to clean the house \n" ); document.write( "

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