document.write( "Question 1203535: You need to strengthen a 22% alcohol solution with a pure alcohol solution to obtain a 70% solution. How much pure alcohol should you add to 100 milliliters of the 22% solution? \n" ); document.write( "
Algebra.Com's Answer #839175 by Theo(13342)\"\" \"About 
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.22x + y = .70 (x + y)
\n" ); document.write( "this becomes .22x + y = .70x + .70y
\n" ); document.write( "subract .70y from both sides of the equation and subtract .22x from both sides of the equation to get:
\n" ); document.write( ".30y = .48x
\n" ); document.write( "you are given that x = 100, therefore:
\n" ); document.write( ".30y = .48 * 100.
\n" ); document.write( "this becomes .30y = 48
\n" ); document.write( "solve for y to get y = 48/.30 = 160
\n" ); document.write( "you have x = 100 and y = 160 for a total of x + y = 260.
\n" ); document.write( "you take 22% of of x and 100% of y to get .22 * 100 + 160 = 182 milliliters of alcohol in a solution that totals 260 millliliters.
\n" ); document.write( "the ratio of alcohol to solution is 182 / 260 = .7 whch is 70%, as desired.
\n" ); document.write( "your solution is that you have to add 182 liters of pure alcohol to a 22% solution of alcohol to get a 70% solution of alcohol.\r
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\n" ); document.write( "\n" ); document.write( "x was the number of liters of 22% alcohol solution.
\n" ); document.write( "y was the number of liters of 100% alcohol solution.
\n" ); document.write( "x + y was the total solution.\r
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