document.write( "Question 181436: A chemist needs 10 L of a 50% alcohol solution. She must mix a 40% solution and a 65% solution. How many liters of each required to obtain what she needs? \n" ); document.write( "
Algebra.Com's Answer #136045 by stanbon(75887) ![]() You can put this solution on YOUR website! A chemist needs 10 L of a 50% alcohol solution. She must mix a 40% solution and a 65% solution. How many liters of each required to obtain what she needs? \n" ); document.write( "---------------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "alcohol + alcohol = alcohol \n" ); document.write( "0.40x + 0.65(10-x) = 0.50*10\r \n" ); document.write( "\n" ); document.write( "Multiply thru by 100 to get:\r \n" ); document.write( "\n" ); document.write( "40x + 65(10-x) = 50*10\r \n" ); document.write( "\n" ); document.write( "40x + 650 - 65x = 500\r \n" ); document.write( "\n" ); document.write( "-25x = -150\r \n" ); document.write( "\n" ); document.write( "x = 6 L (amt. of 40% solution in the mixture) \n" ); document.write( "10-x = 4 L (amt. of 65% solution in the mixture)\r \n" ); document.write( "\n" ); document.write( "================================================================ \n" ); document.write( "Cheers \n" ); document.write( "Stan H. \n" ); document.write( " |