document.write( "Question 399944: I understand what the question is asking me. My problem is I do not know how to set it up to solve it. If I could just figure out how it write the formula I could probably solve it. It goes as follows:\r
\n" ); document.write( "\n" ); document.write( "How much 2% alcohol must be mixed with 10% alcohol to get 2000 ml of 8% alcohol?
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Algebra.Com's Answer #283168 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\" = ml of 2% alcohol needed
\n" ); document.write( "Let \"b\" = ml of 10% alcohol needed
\n" ); document.write( "It follows, then:
\n" ); document.write( "\".02a\" = ml of alcohol in 2% solution
\n" ); document.write( "\".1b\" = ml of alcohol in 10% solution
\n" ); document.write( "In words:
\n" ); document.write( "(ml of alcohol in final solution)/(ml of solution) = 8%
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"%28.02a+%2B+.1b%29%2F2000+=+.08\"
\n" ); document.write( "(2) \"a+%2B+b+=+2000\"
\n" ); document.write( "----------------
\n" ); document.write( "(1) \".02a+%2B+.1b+=+160\"
\n" ); document.write( "(1) \"2a+%2B+10b+=+16000\"
\n" ); document.write( "Multiply both sides of (2) by \"2\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"2a+%2B+10b+=+16000\"
\n" ); document.write( "(2) \"-2a+-+2b+=+-4000\"
\n" ); document.write( "\"8b+=+12000\"
\n" ); document.write( "\"b+=+1500\" ml
\n" ); document.write( "And,
\n" ); document.write( "\"a+%2B+b+=+2000\"
\n" ); document.write( "\"a+=+2000+-+1500\"
\n" ); document.write( "\"a+=+500\" ml
\n" ); document.write( "500 ml of 2% alcohol are needed
\n" ); document.write( "1500 ml of 10% alcohol are needed
\n" ); document.write( "-------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"%28.02a+%2B+.1b%29%2F2000+=+.08\"
\n" ); document.write( "(1) \"%28.02%2A500+%2B+.1%2A1500%29%2F2000+=+.08\"
\n" ); document.write( "(1) \"%2810+%2B+150%29%2F2000+=+.08\"
\n" ); document.write( "\"160%2F2000+=+.08\"
\n" ); document.write( "\"160+=+160\"
\n" ); document.write( "OK
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