document.write( "Question 346060: a radiator holds 12 qt of liquid. How many quarts of pure antifreeze and how many quarts of 40% antiffreeze solution must be mixed to fill the radiator with a 50% antifreeze solution? \n" ); document.write( "

Algebra.Com's Answer #247421 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"A\"$ be the amount of pure antifreeze and $\"B\"$ the amount of 40% solution.
\n" ); document.write( "Total amount equation:
\n" ); document.write( "1. $\"A%2BB=12\"$
\n" ); document.write( "Concentration equation:
\n" ); document.write( " $\"100A%2B40B=50%2812%29\"$
\n" ); document.write( " $\"100A%2B40B=600\"$
\n" ); document.write( "2. $\"5A%2B2B=30\"$
\n" ); document.write( "Multiply eq. 1 by (-2) and add to eq. 2,
\n" ); document.write( " $\"-2A-2B%2B5A%2B2B=-24%2B30\"$
\n" ); document.write( " $\"3A=6\"$
\n" ); document.write( " $\"highlight%28A=2%29\"$ quarts
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"2%2BB=12\"$
\n" ); document.write( " $\"highlight%28B=10%29\"$ quarts \n" ); document.write( "

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