document.write( "Question 852704: What is the correct procedure to solve The mixture calls for 75% pure water and 25% concentrated vitamin drink. How many gallons of water should you add to 16 gallons of concentrated vitamin drink? \n" ); document.write( "
Algebra.Com's Answer #513605 by Theo(13342)\"\" \"About 
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one way to solve this is as follows:
\n" ); document.write( "75% of the mixture is water.
\n" ); document.write( "25% of the mixture is concentrate.
\n" ); document.write( "since there are 16 gallons of concentrate, this means that 16 is equal to 25% of the mixture.
\n" ); document.write( "if that's true, then the mixture must be equal to 4 * 16 = 64.
\n" ); document.write( "since water is 75% of the mixture, this means that water must be equal to 64 - 16 = 48.
\n" ); document.write( "you have 48 gallons of water and 16 gallons of concentrate to equal a total of 64 gallons of mixture.
\n" ); document.write( "48/64 = .75
\n" ); document.write( "16/64 = .25\r
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\n" ); document.write( "\n" ); document.write( "algebraically this looks like the following:
\n" ); document.write( "let w = number of gallons of water.
\n" ); document.write( "let c = number of gallons of concentrate
\n" ); document.write( "let m = number of gallons of the mixture.
\n" ); document.write( "you are given that:
\n" ); document.write( "c = 16
\n" ); document.write( "you are also given that:
\n" ); document.write( "c = .25*m
\n" ); document.write( "this means that:
\n" ); document.write( "16 = .25*m
\n" ); document.write( "divide both sides of this equation by .25 to get:
\n" ); document.write( "16/.25 = m
\n" ); document.write( "simplify to get:
\n" ); document.write( "m = 64
\n" ); document.write( "you are given that:
\n" ); document.write( "w = .75*m
\n" ); document.write( "replace m with 64 to get:
\n" ); document.write( "w = .75*64
\n" ); document.write( "simplify to get:
\n" ); document.write( "w = 48\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "another way to solve is:
\n" ); document.write( "let w = number of gallons of water.
\n" ); document.write( "let c = number of gallons of concentrate
\n" ); document.write( "let m = number of gallons of the mixture.
\n" ); document.write( "you are given:
\n" ); document.write( "c = .25*m
\n" ); document.write( "w = .75*m
\n" ); document.write( "from the first equation, solve for m to get:
\n" ); document.write( "m = c/.25
\n" ); document.write( "replace m in the second equation with c/.25 to get:
\n" ); document.write( "w = .75*c/.25
\n" ); document.write( "simplify to get:
\n" ); document.write( "w = 3*c
\n" ); document.write( "since c = 16, this means that m = 48.\r
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