document.write( "Question 934141: If you wish to increase the percent of acid in 60 mL of a 25% acid solution in water to 35% acid, how much pure acid must you add? \n" ); document.write( "
Algebra.Com's Answer #567255 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = amount of acid you need to add to your solution to make it 35% acid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your new solution will be equal to 60 + x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you currently have 15 ml of acid because .25 * 60 = 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you add x to that, you will get x + 15 ml of acid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you add x to 60, you will get x + 60 of total solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 15 must be equal to 35% of 60 + x in your new solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is x + 15 = .35 * (60 + x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this equation to get x + 15 = .35 * 60 + .35 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract .35 * x from both sides of the equation and subtract 15 from both sides of the equation and you get x - .35 * x = .35 * 60 - 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify that equation to get .65 * x = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of that equation by .65 to get x = 6/.65 = 9.l230769231.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you start with 15 ml of acid in 60 ml of solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 / 60 = .25 which is the current ratio.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 9.1230769231 of acid and you get 15 + 9.1230769231 ml of acid in a total solution of 60 + 9.1230769231 ml.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that simplifies to 24.1230769231 ml of acid in a total solution of 69.1230769231 ml.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24.1230769231 / 69.1230769231 = .35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is now 35% acid.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |