document.write( "Question 634013: The Robinson family and the Sanders family each used their sprinklers last summer. The water output rate for the Robinson family's sprinkler was 25L per hour. The water output rate for the Sanders family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1250L. How long was each sprinkler used? \n" ); document.write( "

Algebra.Com's Answer #399323 by mananth(16946) $\"\"$ $\"About$

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x hours Robinson used
\n" ); document.write( "y Hours Sanders used
\n" ); document.write( "Total memberships
\n" ); document.write( "1 x + 1 y = 55.00 .............1
\n" ); document.write( "
\n" ); document.write( "25 x + 20 y = 1,250.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -20
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-20 x -20 y = -1100
\n" ); document.write( "25 x + 20 y = 1250
\n" ); document.write( "Add the two equations
\n" ); document.write( "5 x = 150
\n" ); document.write( "/ 5
\n" ); document.write( "x = 30.000
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 55
\n" ); document.write( "30 + y = 55
\n" ); document.write( " y = 55-30
\n" ); document.write( " y = 25
\n" ); document.write( " y = 25
\n" ); document.write( " 30 hours Robinson used
\n" ); document.write( " 25 Hours Sanders used
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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