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)\"\" \"About 
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%?
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\n" ); document.write( "If it's a 40% solution, it is 60% water.
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\n" ); document.write( "Assume you start with 100 gallons of the 40% solution.
\n" ); document.write( "60 gallons of it must be water
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\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.
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\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)
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\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.
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\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
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\n" ); document.write( "The mixture is now 10 inactive to 1 active.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
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