document.write( "Question 363488: A Chemist has m gm of salt water that is m% salty.How many grams of salt must be add to make a solution that is 2m % salty? \n" ); document.write( "

Algebra.Com's Answer #259253 by Alan3354(69443) $\"\"$ $\"About$

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g = # of grams
\n" ); document.write( "m = concentration = %/100
\n" ); document.write( "---------
\n" ); document.write( "Amount of salt = g*m
\n" ); document.write( "w = amount of water
\n" ); document.write( "------------
\n" ); document.write( "g = s + w
\n" ); document.write( "m = s/(s+w) = s/g
\n" ); document.write( "Add x amount of salt
\n" ); document.write( "---------
\n" ); document.write( "2m = (s+x)/(g + x) = 2s/g
\n" ); document.write( "(s+x)/(g + x) = 2s/g
\n" ); document.write( "g(s+x) = 2s(g+x)
\n" ); document.write( "gs+gx = 2gs + 2sx
\n" ); document.write( "gx = gs + 2sx
\n" ); document.write( "gx - 2sx = gs
\n" ); document.write( "x(g-2s) = gs
\n" ); document.write( "x = gs/(g-2s)
\n" ); document.write( "s = mg
\n" ); document.write( "x = mg^2/(g - 2mg)
\n" ); document.write( "x = mg/(1 - 2m)
\n" ); document.write( " \n" ); document.write( "

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