document.write( "Question 160734: A chemist needs 120 milliliters of a 60% solution but has only 44% and 92% solutions available how many milliliters of each should be mixed to get the desired solution? \n" ); document.write( "
Algebra.Com's Answer #118532 by Fombitz(32388)\"\" \"About 
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Let X be the volume of 44% solution and Y the volume for 92% solution,
\n" ); document.write( "The total volume equation is
\n" ); document.write( "1.\"X%2BY=120\"
\n" ); document.write( "The total concentration equation is
\n" ); document.write( "2.\"0.44X%2B0.92Y=0.60%28120%29\"
\n" ); document.write( "Multiply both sides by 100 to get rid of decimals,
\n" ); document.write( "2.\"44X%2B92Y=7200\"
\n" ); document.write( "Use eq. 1 to get X in terms of Y,
\n" ); document.write( "1.\"X%2BY=120\"
\n" ); document.write( "\"X=120-Y\"
\n" ); document.write( "Now substitute into eq. 2,
\n" ); document.write( "2.\"44X%2B92Y=7200\"
\n" ); document.write( "\"44%28120-Y%29%2B92Y=7200\"
\n" ); document.write( "\"5280-44Y%2B92Y=7200\"
\n" ); document.write( "\"48Y=1920\"
\n" ); document.write( "\"Y=40\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"X=120-Y\"
\n" ); document.write( "\"X=120-40\"
\n" ); document.write( "\"X=80\"
\n" ); document.write( "Use 80 ml of 44% solution and 40 ml of 92% solution.
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