document.write( "Question 53186: One solution contains 10% alcohol while another contains 30% alcohol. How many liters of each should be mixed to give 10 L of a solution which is 25% alcohol? \n" ); document.write( "
Algebra.Com's Answer #35641 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! One solution contains 10% alcohol while another contains 30% alcohol. How many liters of each should be mixed to give 10 L of a solution which is 25% alcohol? \n" ); document.write( ": \n" ); document.write( "We know that the two mixture amts add up to 10L; \n" ); document.write( ": \n" ); document.write( "Let x = 10% amt; then (10-x) = 30% amt \n" ); document.write( ": \n" ); document.write( "Write a percent equation: \n" ); document.write( ": \n" ); document.write( ".10x + .30(10-x) = .25(10) \n" ); document.write( ": \n" ); document.write( ".10x + 3.0 - .3x = 2.5 \n" ); document.write( ": \n" ); document.write( " .1x - .3x = 2.5 - 3.0 \n" ); document.write( ": \n" ); document.write( " -.2x = -.5 \n" ); document.write( ": \n" ); document.write( " x = -.5/-.2 \n" ); document.write( ": \n" ); document.write( " x = + 2.5 liters of 10% mixture \n" ); document.write( ": \n" ); document.write( "10 - 2.5 = 7.5 liters of the 30% mixture \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions: \n" ); document.write( ".10(2.5) + .30(7.5) = .25(10) \n" ); document.write( " .25 + 2.25 = 2.5 \n" ); document.write( " \n" ); document.write( " |