document.write( "Question 475288: How many liters of water should be added to a 30 liter mixture of milk And Water in the ratio of 7:3 so that the mixture has 40% water in it?\r
\n" ); document.write( "\n" ); document.write( "Please explain the answer. Thanks.
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Algebra.Com's Answer #325923 by josmiceli(19441)\"\" \"About 
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Let \"a\" = liters of water to be added to mixture
\n" ); document.write( "Let \"b\" = liters of milk in 30 liter mixture
\n" ); document.write( "Let \"c\" = liters of water in 30 liter mixture
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+b+%2B+c++=+30+\"
\n" ); document.write( "(2) \"+b%2Fc+=+7%2F3+\"
\n" ); document.write( "------------
\n" ); document.write( "Multiply both sides of (2) by \"3c\"
\n" ); document.write( "(2) \"+3b+=+7c+\"
\n" ); document.write( "(2) \"+b+=+%287%2F3%29%2Ac+\"
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+%287%2F3%29%2Ac+%2B+c+=+30+\"
\n" ); document.write( "(1) \"+7c+%2B+3c+=+90+\"
\n" ); document.write( "(1) \"+10c+=+90+%7D%7D%0D%0A%281%29+%7B%7B%7B+c+=+9+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+%2B+c+=+30+\"
\n" ); document.write( "(1) \"+b+%2B+9+=+30+\"
\n" ); document.write( "(1) \"+b+=+21+\"
\n" ); document.write( "----------------
\n" ); document.write( "In words:
\n" ); document.write( "(liters of water in final mixture) / (total liters of final mixture) = 40%
\n" ); document.write( "\"+%28+a+%2B+9+%29+%2F+%28+a+%2B+30+%29+=+.4+\"
\n" ); document.write( "\"+a+%2B+9+=+.4%2A%28a+%2B+30%29+\"
\n" ); document.write( "\"+a+%2B+9+=+.4a+%2B+12+\"
\n" ); document.write( "\"+.6a+=+3+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "5 liters of water need to be added to the 30 liter mixture
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