document.write( "Question 721041: Please help me answer this word problem : There are 2 strengths of white vinegar. A 5% solution and a 10% solution. how many milliliters of each solution must be mixed to make 50 mL of a 9% vinegar solution? solve using a linear system. \n" ); document.write( "

Algebra.Com's Answer #442141 by josgarithmetic(39617) $\"\"$ $\"About$

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Choose variables for everything:
\n" ); document.write( "u = volume of the lower concentration material
\n" ); document.write( "v = volume of the higher concentration material
\n" ); document.write( "T = concentration of solution you want to make, 9%
\n" ); document.write( "U = lower concentration available materail, 5%
\n" ); document.write( "V = higher concentration available material, 10%
\n" ); document.write( "M = volume of resulting solution to make, 50 ml.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Write your equations:
\n" ); document.write( " $\"highlight%28%28uU%2BvV%29%2FM=T%29\"$ and $\"highlight%28u%2Bv=M%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve the System:
\n" ); document.write( "Solve the system for the unknowns, u and v.
\n" ); document.write( "Sometimes, exercises are assigned given values in a way to make solution process and computations easy or easier. \n" ); document.write( "

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