document.write( "Question 696763: Milan needs 8 oz of a 20% alcohol solution for a chemistry lab. Unfortunately, his teacher only has a 1% alcohol solution and a 50% alcohol solution.\r
\n" ); document.write( "\n" ); document.write( "How many ounces of the 50% alcohol solution should be mixed with the 1% alcohol solution to make 8 oz of the 20% alcohol solution Milan needs? Round to the nearest tenth of an ounce. \n" ); document.write( "
Algebra.Com's Answer #429295 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = ounces of 1% solution needed
\n" ); document.write( "Let \"+b+\" = ounces of 50% solution needed
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+a%2B+b+=+8+\"
\n" ); document.write( "(2) \"+%28+.01a+%2B+.5b+%29+%2F+8+=+.2+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+.01a+%2B+.5b+=+.2%2A8+\"
\n" ); document.write( "(2) \"+.01a+%2B+.5b+=+1.6+\"
\n" ); document.write( "(2) \"+a+%2B+50b+=+160+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+a+%2B+50b+=+160+\"
\n" ); document.write( "(1) \"+-a-+b+=+-8+\"
\n" ); document.write( "\"+49b+=+152+\"
\n" ); document.write( "\"+b+=+3.102+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+a%2B+b+=+8+\"
\n" ); document.write( "(1) \"+a+=+8+-+b+\"
\n" ); document.write( "(1) \"+a+=+8+-+3.102+\"
\n" ); document.write( "(1) \"+a+=+4.898+\"
\n" ); document.write( "4.898 ounces of 1% solution are needed
\n" ); document.write( "3.102 ounces of 50% solution are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+.01a+%2B+.5b+%29+%2F+8+=+.2+\"
\n" ); document.write( "(2) \"+%28+.01%2A4.898+%2B+.5%2A3.102+%29+%2F+8+=+.2+\"
\n" ); document.write( "(2) \"+.04898+%2B+1.551+=+.2%2A8+\"
\n" ); document.write( "(2) \"+1.59998+=+1.6+\"
\n" ); document.write( "close enough- error due to rounding off\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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