document.write( "Question 1063952: A vessel contains 2 liters of alcohol and 28 liters of water.How many liters of alcohol must be added to make the new mixture 12.5% of alcohol?with explanation. \n" ); document.write( "

Algebra.Com's Answer #679007 by math_helper(2461) $\"\"$ $\"About$

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\n" ); document.write( "Let x = number of liters of alcohol to be added\r
\n" ); document.write( "\n" ); document.write( "then x+2 = final number of liters of alcohol
\n" ); document.write( "and 28+x+2 = final number of liters of liquid in mixture (i.e. water AND alcohol)\r
\n" ); document.write( "\n" ); document.write( " (x+2)/(28+x+2) = 0.125
\n" ); document.write( " (x+2)/(x+30) = 0.125
\n" ); document.write( " x+2 = (0.125)(x+30)
\n" ); document.write( " x+2 = 0.125x + 3.75
\n" ); document.write( " 0.875x = 1.75
\n" ); document.write( " x = 1.75/0.875 = 2.\r
\n" ); document.write( "\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "Ans: Adding $\"highlight%282%29\"$ liters of alcohol will make the mixture 12.5% alcohol
\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "Check: (2+2)/(28+2+2) = 4/32 = 0.125 = 12.5% (ok) \n" ); document.write( "

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