document.write( "Question 168604: Kathy has 5 liters of a 32% acid solution and she4 also has a large amount of a 26% acid solution. How many liters of the 26% solution can Kathy mix with the 5 liters of 32% solution in order to produce a 50% acid solution?\r
\n" ); document.write( "\n" ); document.write( "the answer isn't possible in the end but i need to know the values of x and y and write out a system of equations from the information given and then solve hte system of equations using substitution or elimination
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Algebra.Com's Answer #124260 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I believe it's impossible to get a stronger concentration mixture
\n" ); document.write( "from 2 weaker concentrations
\n" ); document.write( "To prove that, I'll go ahead and try to solve it
\n" ); document.write( "Let \"x\"= the liters of 26% solution she needs
\n" ); document.write( "\"%28.26x+%2B+.32%2A5%29+%2F+%28x+%2B+5%29+=+.5\"
\n" ); document.write( "Multiply both sides by \"x+%2B+5\"
\n" ); document.write( "\".26x+%2B+1.6+=+.5%2A%28x+%2B+5%29\"
\n" ); document.write( "\".26x+%2B+1.6+=+.5x+%2B+2.5\"
\n" ); document.write( "\".24x+=+-+.9\"
\n" ); document.write( "\"x+=+-3.75\"
\n" ); document.write( "Clearly, the answer is impossible
\n" ); document.write( "check:
\n" ); document.write( "\"%28.26x+%2B+.32%2A5%29+%2F+%28x+%2B+5%29+=+.5\"
\n" ); document.write( "\"%28.26%2A%28-3.75%29+%2B+.32%2A5%29+%2F+%28-3.75+%2B+5%29+=+.5\"
\n" ); document.write( "\"%28-+.975+%2B+1.6%29+%2F+1.25+=+.5\"
\n" ); document.write( "\".625+%2F+1.25+=+.5\"
\n" ); document.write( "\".5+=+.5\"
\n" ); document.write( "OK
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