document.write( "Question 1070248: the Collins family and the Adams family each used their sprinklers last summer. The Collins family sprinklers was used for 15 hours. The Adams family sprinklers was used for 25 hours. There was a combined total output of 1475 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 75 l per hour? \n" ); document.write( "
Algebra.Com's Answer #685369 by josmiceli(19441)\"\" \"About 
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Let the rate for Collins family =
\n" ); document.write( "\"+a%2F15+\" L/hr
\n" ); document.write( "Let the rate for the Adams family =
\n" ); document.write( "\"+b%2F25+\" L/hr
\n" ); document.write( "---------------------------------
\n" ); document.write( "Given:
\n" ); document.write( "(1) \"+a%2F15+%2B+b%2F25+=+75+\" L/hr
\n" ); document.write( "(2) \"+a+%2B+b+=+1475+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+75+\"
\n" ); document.write( "(1) \"+5a+%2B+3b+=+5625+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Multiply both sides of (2) by \"+3+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+5a+%2B+3b+=+5625+\"
\n" ); document.write( "(2) \"+-3a+-+3b+=+-4425+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+2a+=+1200+\"
\n" ); document.write( "\"+a+=+600+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+%2B+b+=+1475+\"
\n" ); document.write( "(2) \"+600+%2B+b+=+1475+\"
\n" ); document.write( "(2) \"+b+=+875+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "Rate for Collins family:
\n" ); document.write( "\"+600%2F15+=+40+\" L/hr
\n" ); document.write( "Rate for Adams family:
\n" ); document.write( "\"+875%2F25+=+35+\" L/hr
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a%2F15+%2B+b%2F25+=+75+\" L/hr
\n" ); document.write( "(1) \"+40+%2B+35+=+75+\"
\n" ); document.write( "(1) \"+75+=+75+\"
\n" ); document.write( "OK
\n" ); document.write( "check the math
\n" ); document.write( "
\n" ); document.write( "
\n" );