document.write( "Question 323496: how many ounces of 30% hydrochloric acid solution and 80% hydrochloric acid solution must be mixed to get 10 ounces of 50% hydrochloric solution? \n" ); document.write( "

Algebra.Com's Answer #232086 by Fombitz(32388) $\"\"$ $\"About$

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Let T be the amount of 30% solution and E be the amount of 80% solution,
\n" ); document.write( "1. $\"T%2BE=10\"$
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\n" ); document.write( " $\"30T%2B80E=50%2810%29\"$
\n" ); document.write( "2. $\"3T%2B8E=50\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( " $\"T=10-E\"$
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"3%2810-E%29%2B8E=50\"$
\n" ); document.write( " $\"30-3E%2B8E=50\"$
\n" ); document.write( " $\"5E=20\"$
\n" ); document.write( " $\"E=4\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"T%2B4=10\"$
\n" ); document.write( " $\"T=6\"$
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\n" ); document.write( "6 ounces of 30% solution and 4 ounces of 80% solution. \n" ); document.write( "

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