document.write( "Question 125825: two gasahol mixtures are available one contains4.5%alcohol,and the other contains9.75%alcohol.How much of each do you need to mix up 300 liters of gasahol containing 7.25%alcohol \n" ); document.write( "

Algebra.Com's Answer #92229 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = the amount of 4.5% mixture needed
\n" ); document.write( "Let $\"b\"$ = the amount of 9.75% mixture needed
\n" ); document.write( "In words:
\n" ); document.write( "(alcohol in the two mixtures) / (total mixture) = 7.25%
\n" ); document.write( " $\"%28.045a+%2B+.0975b%29+%2F+%28a+%2B+b%29+=+.0725\"$
\n" ); document.write( "also given is
\n" ); document.write( " $\"a+%2B+b+=+300\"$
\n" ); document.write( " $\"b+=+300+-+a\"$
\n" ); document.write( " $\"%28.045a+%2B+.0975%28300+-+a%29%29+%2F+300+=+.0725\"$
\n" ); document.write( " $\"%28.045a+%2B+29.25+-+.0975a%29+%2F+300+=+.0725\"$
\n" ); document.write( " $\"+.045a+%2B+29.25+-+.0975a+=+21.75\"$
\n" ); document.write( " $\"-.0525a+=+-7.5\"$
\n" ); document.write( " $\"a+=+142.857\"$ liters answer
\n" ); document.write( " $\"b+=+300+-+142.857\"$
\n" ); document.write( " $\"b+=+157.143\"$ liters answer
\n" ); document.write( "check:
\n" ); document.write( " $\"%28.045a+%2B+.0975b%29+%2F+%28a+%2B+b%29+=+.0725\"$
\n" ); document.write( " $\"%28.045%2A142.857+%2B+.0975%2A157.143%29+%2F+300+=+.0725\"$
\n" ); document.write( " $\"%286.429+%2B+15.321%29+%2F+300+=+.0725\"$
\n" ); document.write( " $\"21.75+%2F+300+=+.0725\"$
\n" ); document.write( " $\"21.75+=+21.75\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );