document.write( "Question 1034848: The Moore family and the Bennett family each used their sprinklers last summer. The water output rate for the Moore family's sprinkler was
\n" ); document.write( "35L
\n" ); document.write( " per hour. The water output rate for the Bennett family's sprinkler was
\n" ); document.write( "30L
\n" ); document.write( " per hour. The families used their sprinklers for a combined total of
\n" ); document.write( "50
\n" ); document.write( " hours, resulting in a total water output of
\n" ); document.write( "1650L
\n" ); document.write( ". How long was each sprinkler used?
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Algebra.Com's Answer #649503 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
Call the times used by each, m and b. Then we can write
\n" ); document.write( "b + m = 50 and
\n" ); document.write( "30b + 35m = 1650
\n" ); document.write( "Now multiply the top one by 30 and subtract from the bottom one...we get\r
\n" ); document.write( "\n" ); document.write( "30b + 35m = 1650
\n" ); document.write( "-(30b + 30m = 1500)
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\n" ); document.write( "5m = 150
\n" ); document.write( "m = 30 hours for Moore so that
\n" ); document.write( "b = 20 hours for Bennett
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