document.write( "Question 1095527: How many litres of 15% weedkiller mixture must be added to 5 litres of 10% weedkiller
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document.write( "mixture to make a 12% weedkiller mixture?
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Algebra.Com's Answer #710042 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x equal the number of liters of 15% weedkiller.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is .15 * x + .10 * 5 = .12 * (x + 5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get .15 * x + .10 * 5 = .12 * x + .12 * 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify further to get .15 * x + .5 = .12 * x + .6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract .12 * x from both sides and subtract .5 from both sides and simplify to get .03 * x = .1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by .03 to get x = .1 / .03 = 3.333333333 rounded to 9 decimal digits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would need 3.333333333 liters of 15% solution to be added to 5 liters of 10% solution to get 8.333333333 liters of 12% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".15 * 3.333333333 = .5 \n" ); document.write( ".10 * 5 = .5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".5 + .5 = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 + 3.333333333 = 8.333333333\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 divided by 8.333333333 = .12 which is equal to 12%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would need 3 and 1/3 liters of 15% solution to be added to 5 liters of 10% to get 8 and 1/3 liters of 12% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in decimal form rounded to 2 decimal digits, you would need 3.33 liters of 15% solution to be added to 5 liters of 10% solution to get 8.33 liters of 12% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |