document.write( "Question 529845: A dehydrated patient needs a 3.24% saline IV. Unfortunately, the hospital only has bags of 1% and 9%saline solution. How many liters of each of these solutions should be mixed together to yield 5 liters of the desired concentration? \n" ); document.write( "
Algebra.Com's Answer #349777 by josmiceli(19441)\"\" \"About 
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Let \"a\" = liters of 1% solution needed
\n" ); document.write( "Let \"b\" = liters of 9% solution needed
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a+%2B+b+=+5+\" liters
\n" ); document.write( "(2) \"+%28.01a+%2B+.09b%29+%2F+5+=+.0324+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+%28.01a+%2B+.09b%29+%2F+5+=+.0324+\"
\n" ); document.write( "(2) \"+%28.01a+%2B+.09b%29++=+.0324%2A5+\"
\n" ); document.write( "(2) \"+.01a+%2B+.09b+=+.162+\"
\n" ); document.write( "(2) \"+a+%2B+9b+=+16.2+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+a+%2B+9b+=+16.2+\"
\n" ); document.write( "(1) \"+-a+-+b+=+-5+\"
\n" ); document.write( "\"+8b+=+11.2+\"
\n" ); document.write( "\"+b+=+1.4+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a+%2B+b+=+5+\"
\n" ); document.write( "(1) \"+a+%2B+1.4+=+5+\"
\n" ); document.write( "(1) \"+a+=+3.6+\"
\n" ); document.write( "3.6 liters of 1% solution are needed
\n" ); document.write( "1.4 liters of 9% solution are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28.01%2A3.6+%2B+.09%2A1.4%29+%2F+5+=+.0324+\"
\n" ); document.write( "(2) \"+%28+.036+%2B+.126+%29+%2F+5+=+.0324+\"
\n" ); document.write( "(2) \"+.162+=+5%2A.0324+\"
\n" ); document.write( "(2) \"+.162+=+.162+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );