document.write( "Question 1011852: I'm a 66 year old man with a debate with my wife. I say the mixture would be 4 to 1 she disagrees. A 40% solution is to be mixed with water how much water is needed to make the solution 10%? \n" ); document.write( "
Algebra.Com's Answer #627643 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A 40% solution is to be mixed with water how much water is needed to make the solution 10%? \n" ); document.write( "----- \n" ); document.write( "If it's a 40% solution, it is 60% water. \n" ); document.write( "--- \n" ); document.write( "Assume you start with 100 gallons of the 40% solution. \n" ); document.write( "60 gallons of it must be water \n" ); document.write( "--- \n" ); document.write( "You are going to add \"x\" gallons of the water to the solution. \n" ); document.write( "You now have (100+x) gallons of solution. \n" ); document.write( "---- \n" ); document.write( "You want that to be a 10% solution. \n" ); document.write( "You have to solve for \"x\". \n" ); document.write( "Equation: \n" ); document.write( "water + water = water \n" ); document.write( "60 gal + x gal = 0.90(100+x) \n" ); document.write( "60 + x = 90 + 0.9x \n" ); document.write( "0.1x = 30 \n" ); document.write( "x = 300 (number of gallons of water you would have to add) \n" ); document.write( "----- \n" ); document.write( "You started with 100 gallons of solution; 60 gallons was water \n" ); document.write( "You added 300 gallons of water so you have 400 gallons of solution \n" ); document.write( "40 gallons of active ingredient are still in the solution. \n" ); document.write( "And 40 is 10% of 400. \n" ); document.write( "--- \n" ); document.write( "The original solution was 4 out of 10 or 2/5 active. \n" ); document.write( "The new solution is 4 out of 40 or 1/10 active \n" ); document.write( "----- \n" ); document.write( "The mixture is now 10 inactive to 1 active. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |