document.write( "Question 1153594: I have 32 fluid ounces of a 3% solution and 32 fluid ounces of a 35% solution. How many ounces of each will I have to add together to make 32 fluid ounces of a 4% solution? \n" ); document.write( "
Algebra.Com's Answer #775858 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The other tutor showed how to set up the problem for solving using the standard algebraic method. If an algebraic method is not required, here is a solution by a method that will get you to the answer much faster, and with far less work. \n" ); document.write( "Think of starting with 3% solution and adding 35% solution, stopping when you get to 4%. \n" ); document.write( "To model that, think of \"walking\" along a number line, starting at 3 and heading towards 35, stopping when you get to 4. From 3 to 4 is 1/32 of the distance from 3 to 35. \n" ); document.write( "That means 1/32 of the mixture needs to be the 35% solution you are adding. \n" ); document.write( "Since you want 32 fl oz of the mixture, that means you need to use 1 fl o of the 35% solution and 31 fl oz of the 3% solution. \n" ); document.write( "Without all the words of explanation, here are the simple calculations required to solve the problem. \n" ); document.write( "4-3=1; 35-3=32 --> 1/32 \n" ); document.write( "(1/32) of 32 fl oz = 1 fl oz = amount of 35% solution to use \n" ); document.write( " \n" ); document.write( " |