document.write( "Question 1093599: a nurse needs rubbing alcohol, which is a 70% alcohol solution. However, there is only a 40% alcohol solution and a 90% alcohol solution in stock. how much of each solution should be mixed in order to obtain 8 ounces of the desired solution? \n" ); document.write( "
Algebra.Com's Answer #708212 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = ounces of 40% solution needed
\n" ); document.write( "Let \"+b+\" = ounces of 90% solution needed
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+8+\"
\n" ); document.write( "(2) \"+%28+.4a+%2B+.9b+%29+%2F+8+=+.7+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+.4a+%2B+.9b+=+5.6+\"
\n" ); document.write( "(2) \"+4a+%2B+9b+=+56+\"
\n" ); document.write( "Multiply both sides of (1) by \"+4+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(2) \"+4a+%2B+9b+=+56+\"
\n" ); document.write( "(1) \"+-4a+-+4b+=+-32+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+5b+=+24+\"
\n" ); document.write( "\"+b+=+4.8+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a%2B+b+=+8+\"
\n" ); document.write( "(1) \"+a+=+8+-+4.8+\"
\n" ); document.write( "(1) \"+a+=+3.2+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "3.2 ounces of 40% solutions are needed
\n" ); document.write( "4.8 ounces of 90% solution are needed
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.4a+%2B+.9b+%29+%2F+8+=+.7+\"
\n" ); document.write( "(2) \"+%28+.4%2A3.2+%2B+.9%2A4.8+%29+%2F+8+=+.7+\"
\n" ); document.write( "(2) \"+1.28+%2B+4.32+=+5.6+\"
\n" ); document.write( "(2) \"+5.6+=+5.6+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );