document.write( "Question 295596: How many ounces of pure alcohol must be added to 40 ounces of a 70% alcohol solution to produce an 85% alcohol solution? \n" ); document.write( "
Algebra.Com's Answer #854264 by ikleyn(53875) You can put this solution on YOUR website! . \n" ); document.write( "How many ounces of pure alcohol must be added to 40 ounces of a 70% alcohol solution \n" ); document.write( "to produce an 85% alcohol solution? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution in the post by @mananth is incorrect.\r \n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let quantity of pure alcohol to be added be x ounces \n" ); document.write( "70% alcohol is 40 ounces \n" ); document.write( "the total will be x+40 ounces \n" ); document.write( "x + 0.7*40 = (x+40)*0.85 \n" ); document.write( "x + 28 = 0.85x + 34 \n" ); document.write( "0.15x = 34 - 28 \n" ); document.write( "0.15x = 6 \n" ); document.write( "x = 6/0.15 = 40.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER. 40 ounces of pure alcohol must be added.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "CHECK for the concentration: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved correctly.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Notice that 85% concentration is precisely midpoint between 70% and 100%, \r \n" ); document.write( "\n" ); document.write( " so the answer is obvious and can be guessed MENTALLY.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |