document.write( "Question 713286: How many ounces of a 35% alcohol solution must be mixed with 15 ounces of a 40% alcohol solution to make a 38% alcohol solution? \n" ); document.write( "

Algebra.Com's Answer #438358 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
That is an example of the general question:
\n" ); document.write( "How much of a higher concentration material must be mixed with some quantity of a lower concentration material to make a mixture of some intermediate value concentration?\r
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\n" ); document.write( "\n" ); document.write( "L=35%, concentration of lower strength material
\n" ); document.write( "H=40%, concentration of higher strength matarial
\n" ); document.write( "T=38%, target concentration of mixture wanted
\n" ); document.write( "u= unknown, ounces of lower strength stuff to add
\n" ); document.write( "v=15 ounces, ounces of available higher strength stuff to be used.\r
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\n" ); document.write( "\n" ); document.write( "The General Problem can be solved all in symbols:
\n" ); document.write( " $\"%28Lu%2BHv%29%2F%28u%2Bv%29=T\"$ , we solve for u, the only unknown here.
\n" ); document.write( " $\"Lu%2BHv=T%28u%2Bv%29\"$
\n" ); document.write( " $\"Lu%2BHv=Tu%2BTv\"$
\n" ); document.write( " $\"Lu-Tu=-Hv%2BTv\"$
\n" ); document.write( " $\"%28L-T%29u=%28T-H%29v\"$
\n" ); document.write( " $\"u=v%28T-H%29%2F%28L-T%29\"$ , knowing that those differences are actually both negative we can do
\n" ); document.write( " $\"highlight%28u=v%28H-T%29%2F%28T-L%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now just substitute the given values to find u, the ounces of 35% alcohol.\r
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