document.write( "Question 837775: Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 mg/mL and a cherry-flavored syrup that is to be added to hide the taste of the drug. How much of each must be used to prepare 100 milliliters of solution with a drug concentration of 3 mg/mL? How many mL of the elixir? How many mL of the cherry-flavored syrup?
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Algebra.Com's Answer #504754 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = ml of elixir needed
\n" ); document.write( "Let $\"+b+\"$ = ml of syrup needed
\n" ); document.write( " $\"+%285%2F1%29%2Aa+=+5a+\"$ = mg of drug in $\"+a+\"$ ml of elixir
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+100+\"$ ml
\n" ); document.write( "(2) $\"+5a+%2F+100+=+3+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " (2) $\"+5a+=+300+\"$
\n" ); document.write( "(2) $\"+a+=+60+\"$ ml
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+100+\"$
\n" ); document.write( "(1) $\"+60+%2B+b+=+100+\"$
\n" ); document.write( "(1) $\"+b+=+40+\"$
\n" ); document.write( "60 ml of elixir is needed
\n" ); document.write( "40 ml of syrup is needed
\n" ); document.write( "check:
\n" ); document.write( "The mg of drug in the elixir is $\"+%285%2F1%29%2A60+=+300+\"$ mg
\n" ); document.write( "The mg/ml concentration of the drug is:
\n" ); document.write( " $\"+300+%2F+100+=+3+\"$ mg/ml
\n" ); document.write( "OK
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