document.write( "Question 350685: A scientist needs 5L of
\n" ); document.write( "12% solution. She has
\n" ); document.write( "on 10% and 17%
\n" ); document.write( "solution. How much of
\n" ); document.write( "each does she need? \n" ); document.write( "

Algebra.Com's Answer #250674 by Fombitz(32388) $\"\"$ $\"About$

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Let $\"A\"$ be the amount of 10% solution and $\"B\"$ the amount of 17%
\n" ); document.write( "solution.
\n" ); document.write( "Volume equation:
\n" ); document.write( "1. $\"A%2BB=5\"$
\n" ); document.write( "Concentration equation:
\n" ); document.write( "2. $\"10A%2B17B=12%285%29=60\"$
\n" ); document.write( "Multiply eq. 1 by -10 and add it to eq. 2,
\n" ); document.write( " $\"-10A-10B%2B10A%2B17B=-50%2B60\"$
\n" ); document.write( " $\"7B=10\"$
\n" ); document.write( " $\"highlight%28B=10%2F7%29\"$ liters
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"A%2B10%2F7=5\"$
\n" ); document.write( " $\"A=35%2F7-10%2F7\"$
\n" ); document.write( " $\"highlight%28A=25%2F7%29\"$ liters \n" ); document.write( "

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