document.write( "Question 48573: Solution x is 2% alcohol and solution y is 6% alcohol. A drugstore owner wants to mix them in order to get a 60 liter of solution that is 3.2% alcohol. How many liters of each should the owner use?\r
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document.write( "My dear tutor i would be very glad if you can help me solved this problem. I had been trying my very best but really iam poor in math. THANKS so much and more power........ \n" );
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Algebra.Com's Answer #32157 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! DEFINITION: \n" ); document.write( "Let x = amount of solution needed. \n" ); document.write( "Leap of common sense... how much of solution y is therefore needed? Answer is \"the rest of the 60litres\", so we have (60-x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BEFORE: \n" ); document.write( "0.02*x + 0.06(60-x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AFTER: \n" ); document.write( "0.32*60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and the before must equal the after surely? :-) so... \n" ); document.write( "0.02*x + 0.06(60-x) = 0.032*60 \n" ); document.write( "0.02x + 3.6-0.06x = 1.92 \n" ); document.write( "-0.04x = -1.68 \n" ); document.write( "x = (-1.68)/(-0.04) \n" ); document.write( "x = 42 litres.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And so 60-42 is 18.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x=42litres \n" ); document.write( "y=18 litres\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |