document.write( "Question 13607: How many liters of a 30% alcohol solution do you need to mix with 50 liters of a 60% soultion to obtain a 35% solution? \n" ); document.write( "
Algebra.Com's Answer #6854 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! think of \"before\" and \"after\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "before --> got 50 litres of 60% and x litres of 30%. \n" ); document.write( "after --> got (50+x) litres of 35%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Just looking at this, the final solution is very close to the 30% solution, so there must be a lot of the 30%, to \"drag\" the concentration down from 60%. So i am looking for a common sense answer that is a lot more than 50 litres.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "(50*0.60) + (x*0.30) = (50+x)*0.35 \n" ); document.write( "30 + 0.3x = 17.5 + 0.35x \n" ); document.write( "0.05x = 12.5 \n" ); document.write( "--> x = 250 litres.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |