document.write( "Question 846462: I need to calculate a mixture of 2 products:
\n" ); document.write( "Mixture A = 58% of B + 42% of C
\n" ); document.write( "A B C are all volumes in liters
\n" ); document.write( "B is a known value.
\n" ); document.write( "How do I calculate C\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #509726 by KMST(5328) $\"\"$ $\"About$

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$\"A\"$ = volume of mixture A
\n" ); document.write( " $\"B\"$ = volume of product B in mixture A
\n" ); document.write( " $\"C\"$ = volume of product C in mixture A
\n" ); document.write( "Mixture A is made of 58% of product B and 42% of product C.
\n" ); document.write( "We assume that volumes are additive (or very nearly so),
\n" ); document.write( "meaning that $\"A=B%2BC\"$ .
\n" ); document.write( "B is 58% of A, so $\"B=%2858%2F100%29%2AA\"$ or $\"B=0.58A\"$
\n" ); document.write( "C is 42% of A, so $\"C=%2842%2F100%29%2AA\"$ or $\"C=0.42A\"$
\n" ); document.write( "
\n" ); document.write( "With $\"B=0.58A\"$ and $\"C=0.42A\"$ ,
\n" ); document.write( "given any one of the volumes, you can calculate the other two volumes.
\n" ); document.write( "If you know $\"B\"$ ,
\n" ); document.write( " $\"B=0.58A\"$ --> $\"B%2F0.58=A\"$ --> $\"highlight%28A=B%2F0.58%29\"$ .
\n" ); document.write( "Then,
\n" ); document.write( " $\"system%28C=0.42A%2CA=B%2F0.58%29\"$ --> $\"C=0.42%28B%2F0.58%29\"$ --> $\"highlight%28C=0.42%2AB%2F0.58%29\"$ or $\"highlight%28C=%2842%2F58%29%2AB%29\"$
\n" ); document.write( "That can be calculated as approximately $\"C=0.724%2AB%29\"$ . \n" ); document.write( "

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