document.write( "Question 710342: If a 7% saline solution and a 4% saline solution are mixed to make 500 milliliters of a 5% saline solution, how much of each solution, to the nearest milliliter, is needed? \n" ); document.write( "
Algebra.Com's Answer #436969 by josgarithmetic(39617)\"\" \"About 
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CHOOSING VARIABLES FOR ALL NUMBERS
\n" ); document.write( "Concentration of Low percent saline, L
\n" ); document.write( "Concentration of High percent saline, H
\n" ); document.write( "Target concentration of saline wanted, T
\n" ); document.write( "Amount of Low concentration saline to use, u, unknown
\n" ); document.write( "Amount of High concentration saline to use, v, unknown
\n" ); document.write( "Amount of saline solution made, M, or 500 ml. in the example\r
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\n" ); document.write( "\n" ); document.write( "From problem description:
\n" ); document.write( "L=4%, H=7%, T=5%, M=500 ml.\r
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\n" ); document.write( "\n" ); document.write( "Create Equations to Represent Situation:\r
\n" ); document.write( "\n" ); document.write( "\"%28uL%2BvH%29%2FM=T\"
\n" ); document.write( "\"u%2Bv=M\"\r
\n" ); document.write( "\n" ); document.write( "Solve that system for u and v.
\n" ); document.write( "\"uL%2BvH=MT\"
\n" ); document.write( "Use the volume sum equation for known mixture volume amount to substitute for v.
\n" ); document.write( "Using v=M-u,
\n" ); document.write( "\"uL%2B%28M-u%29H=MT\"
\n" ); document.write( "\"uL-uH=-MH%2BMT\"
\n" ); document.write( "\"u%28L-H%29=M%28T-H%29\"
\n" ); document.write( "\"highlight%28u=%28M%28T-H%29%29%2F%28L-H%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "You could substitute the given values into this formula for u, and then compute u. Then, use the u+v=M relationship to compute v.
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