document.write( "Question 73871: How many gallons of a 40% alcohol solution must be mixed with 70 gallons of a 21% slution to obtain a solution that is 30% alcohol \n" ); document.write( "
Algebra.Com's Answer #52848 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How many gallons of a 40% alcohol solution must be mixed with 70 gallons of a 21% solution to obtain a solution that is 30% alcohol. \n" ); document.write( "-------- \n" ); document.write( "21% solution DATA: \n" ); document.write( "Amt = 70 gals ; amt of alcohol = 0.21*70 = 14.7 gals \n" ); document.write( "----------- \n" ); document.write( "40% solution DATA: \n" ); document.write( "Amt = x gals ; amt of alcohol = 0.40x gals \n" ); document.write( "-------------- \n" ); document.write( "30% solution DATA: \n" ); document.write( "Amt = 70+x gals ; amt of alcohol = 0.3(70+x) = 21 + 0.3x gals \n" ); document.write( "============ \n" ); document.write( "EQUATION: \n" ); document.write( "alcohol + alcohol = alcohol \n" ); document.write( "14.7 + 0.4x = 21 + 0.3x \n" ); document.write( "0.1x = 6.3 \n" ); document.write( "x=63 gallons (amt of 40% solution that must be added) \n" ); document.write( "========\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |