document.write( "Question 66313: Mix a solution that is 30% alcohol with a solution that is 80% alcohol to make 800mL of a soultion that is 60% alcoho. How much of each solution should you use? \n" ); document.write( "
Algebra.Com's Answer #47038 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Mix a solution that is 30% alcohol with a solution that is 80% alcohol to make 800mL of a solution that is 60% alcohol. How much of each solution should you use? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 30% solution, since the total amt is 800 ml, then \n" ); document.write( "(800-x) = amt of 80% solution. \n" ); document.write( ": \n" ); document.write( "Convert % to decimal and write an equation: \n" ); document.write( ": \n" ); document.write( ".30(x) + .80(800-x) = .60(800) \n" ); document.write( ": \n" ); document.write( ".3x + 640 - .8x = 480 \n" ); document.write( ".3x - .8x = 480 - 640 \n" ); document.write( "-.5x = -160 \n" ); document.write( "x = -160/-.5 \n" ); document.write( "x = + 320 ml of the 30% solution \n" ); document.write( ": \n" ); document.write( "Find the amt of the 80% solution required; 800 - 320 = 480 ml \n" ); document.write( ": \n" ); document.write( "Check: .3(320) + .8(480) = .6(800) \n" ); document.write( " |