document.write( "Question 1096495: The manager of a fish store has water that is 10% salt and the other water that is 25%. He needs to fill an aquarium with 10 gallons of water that is 20%. what is the answer? \n" ); document.write( "
Algebra.Com's Answer #710932 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = gallons of 10% salt water needed
\n" ); document.write( "Let \"+b+\" = gallons of 25% salt water needed
\n" ); document.write( "------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+10+\"
\n" ); document.write( "(2) \"+%28+.1a+%2B+.25b+%29+%2F+10+=+.2+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) \"+.1a+%2B+.25b+=+2+\"
\n" ); document.write( "(2) \"+10a+%2B+25b+=+200+\"
\n" ); document.write( "(2) \"+2a+%2B+5b+=+40+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+2a+%2B+5b+=+40+\"
\n" ); document.write( "(1) \"+-2a+-2b+=+-20+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+3b+=+20+\"
\n" ); document.write( "\"+b+=+6.667+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+6.667+=+10+\"
\n" ); document.write( "(1) \"+a+=+3.333+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "3.333 gallons of 10% salt water needed
\n" ); document.write( "6.667 gallons of 25% salt water needed
\n" ); document.write( "--------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.1a+%2B+.25b+%29+%2F+10+=+.2+\"
\n" ); document.write( "(2) \"+%28+.1%2A3.333+%2B+.25%2A6.667+%29+%2F+10+=+.2+\"
\n" ); document.write( "(2) \"+%28+.3333+%2B+1.6667+%29+%2F+10+=+.2+\"
\n" ); document.write( "(2) \"+2%2F10+=+.2+\"
\n" ); document.write( "(2) \"+.2+=+.2+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );