document.write( "Question 1054028: You need 75 mL of a 5% alcohol solution. On hand, you have a 25% alcohol mixture. How much of the 25% alcohol mixture and pure water will you need to obtain the desired solution?
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Algebra.Com's Answer #669232 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = ml of water needed
\n" ); document.write( "Let $\"+b+\"$ = ml of 25% alcohol solution needed
\n" ); document.write( " $\"+.05%2A75+=+3.75+\"$ ml of alcohol in
\n" ); document.write( "your final solution
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) $\"+.25b+%2F+%28+a+%2B+b+%29+=+.05+\"$
\n" ); document.write( "(2) $\"+.25b+=+3.75+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "(2) $\"+b+=+3.75%2F.25+\"$
\n" ); document.write( "(2) $\"+b+=+15+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+.25b+=+.05%2A%28+a+%2B+b+%29+\"$
\n" ); document.write( "(1) $\"+.25%2A15+=+.05%2A%28+a+%2B+15+%29+\"$
\n" ); document.write( "(1) $\"+3.75+=+.05a+%2B+.75+\"$
\n" ); document.write( "(1) $\"+.05a+=+3+\"$
\n" ); document.write( "(1) $\"+a+=+60+\"$
\n" ); document.write( "You need 15 ml of 25% solution
\n" ); document.write( "and 60 ml of pure water
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\n" ); document.write( "check:
\n" ); document.write( " $\"+.25%2A15+%2F+%28+15%2B+60%29+=+.05+\"$
\n" ); document.write( " $\"+3.75%2F75+=+.05+\"$
\n" ); document.write( " $\"+3.75+=+.05%2A75+\"$
\n" ); document.write( " $\"+3.75+=+3.75+\"$
\n" ); document.write( "OK\r
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