document.write( "Question 740906: I have a 17% salicylic acid solution that I have to mix with alcohol to make a 2% solution to use as a face toner. The alcohol bottle I have is 473 mL total. What amount of each do I have to use to get the 2%?\r
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Algebra.Com's Answer #451784 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = ml of 17% solution needed
\n" ); document.write( "Let $\"+b+\"$ = ml of alcohol needed
\n" ); document.write( " $\"+.17a+\"$ = ml of salicylic acid in 17% solution
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+473+\"$
\n" ); document.write( "(2) $\"+.17a+%2F+473+=+.02+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+.17a+=+.02%2A473+\"$
\n" ); document.write( "(2) $\"+.17a+=+9.46+\"$
\n" ); document.write( "(2) $\"+a+=+55.647+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+473+\"$
\n" ); document.write( "(1) $\"+b+=+473+-+55.647+\"$
\n" ); document.write( "(1) $\"+b+=+417.353+\"$
\n" ); document.write( "55.647 ml of 17% solution is needed
\n" ); document.write( "417.353 ml of alcohol is needed
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.17a+%2F+473+=+.02+\"$
\n" ); document.write( "(2) $\"+.17%2A55.647+%2F+473+=+.02+\"$
\n" ); document.write( "(2) $\"+9.46+%2F+473+=+.02+\"$
\n" ); document.write( "(2) $\"+9.46+=+.02%2A473+\"$
\n" ); document.write( "(2) $\"+9.46+=+9.46+\"$
\n" ); document.write( "OK
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