document.write( "Question 617197: A doctor mixed a 10% glucose solution with a 20% glucose solution. This mixture produced 16 oz of an 18% glucose solution. How many liters of each solution did the doctor use? \n" ); document.write( "

Algebra.Com's Answer #388199 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = ounces of 10% solution used
\n" ); document.write( "Let $\"+b+\"$ = ounces of 20% solution used
\n" ); document.write( " $\"+.1a+\"$ = ounces of glucose in 10% solution
\n" ); document.write( " $\"+.2b+\"$ = ounces of glucose in 20% solution
\n" ); document.write( "-------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+16+\"$
\n" ); document.write( "(2) $\"+%28+.1a+%2B+.2b+%29+%2F+16+=+.18+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(2) $\"+.1a+%2B+.2b+=+.18%2A16+\"$
\n" ); document.write( "(2) $\"+.1a+%2B+.2b+=+2.88+\"$
\n" ); document.write( "(2) $\"+10a+%2B+20b+=+288+\"$
\n" ); document.write( "(2) $\"+5a+%2B+10b+=+144+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract from (2)
\n" ); document.write( "(2) $\"+5a+%2B+10b+=+144+\"$
\n" ); document.write( "(1) $\"+-5a+-+5b+=+-80+\"$
\n" ); document.write( " $\"+5b+=+64+\"$
\n" ); document.write( " $\"+b+=+12.8+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+16+\"$
\n" ); document.write( "(1) $\"+a+%2B+12.8+=+16+\"$
\n" ); document.write( "(1) $\"+a+=+3.2+\"$
\n" ); document.write( "3.2 ounces of 10% solution is used
\n" ); document.write( "12.8 ounces of 20% solution is used
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+.1%2A3.2+%2B+.2%2A12.8+%29+%2F+16+=+.18+\"$
\n" ); document.write( "(2) $\"+.32+%2B+2.56+=+.18%2A16+\"$
\n" ); document.write( "(2) $\"+2.88+=+2.88+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );