document.write( "Question 757839: A chemist must mix 8 liters of a 70% solution of potassium chloride with some 40% solution to get a mixture that is a 50% solution. How much of the 40% solution should be use? \n" ); document.write( "
Algebra.Com's Answer #461129 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=amount of 40% solution needed \n" ); document.write( "Now we know that the amount of pure potassium chloride that exists before the mixture takes place(8*0.70+0.40x)has to equal the amount of pure potassium chloride that exists after the mixture takes place(0.50(8+x)). Sooo \n" ); document.write( "8*0.70+0.40x=0.50(8+x) \n" ); document.write( "5.6+0.40x=4+0.50x subtract 4 and also 0.40x from each side \n" ); document.write( "5.6-4=0.50x-0.40x \n" ); document.write( "1.6=0.1x \n" ); document.write( "x=16 liters ---amount of 40% solution needed \n" ); document.write( "CK \n" ); document.write( "8*0.70+0.40*16=0.50*24 \n" ); document.write( "5.6+6.4=12 \n" ); document.write( "12=12 \n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |