document.write( "Question 159493: How many liters of pure alcohol need to be added to seven liters of 21% alcohol solution to produce a mixture which is 44.7% alcohol? \n" ); document.write( "
Algebra.Com's Answer #117651 by KnightOwlTutor(293)![]() ![]() You can put this solution on YOUR website! X= number of Liters of pure alcohol needed \r \n" ); document.write( "\n" ); document.write( "Convert the % to decimal format ie 21%=.21 \n" ); document.write( "Pure alcohol is 100% decimal format is 1\r \n" ); document.write( "\n" ); document.write( "The algebraic equation for this is:\r \n" ); document.write( "\n" ); document.write( "X+7(.21)=.447(7+X)\r \n" ); document.write( "\n" ); document.write( "The total volume on both sides of the equation must be the same.\r \n" ); document.write( "\n" ); document.write( "Use the distributive property to get\r \n" ); document.write( "\n" ); document.write( "X+1.47=3.129+.447X\r \n" ); document.write( "\n" ); document.write( "Subtract .447 from both sides \n" ); document.write( "Subtract 1.47 from both sides\r \n" ); document.write( "\n" ); document.write( "0.553X=1.654 \n" ); document.write( "X=3 Liters of pure alcohol \n" ); document.write( "To confirm plug in 3 for the variable X in the algebraic equation. \n" ); document.write( " |