SOLUTION: please help me solve this problem how many ounces of pure water must be added to 5o ounces of 15% saline solution to make a saline solution that is 10% salt?

Question 864372: please help me solve this problem
how many ounces of pure water must be added to 5o ounces of 15% saline solution to make a saline solution that is 10% salt?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = amount of pure water to add (in ounces)

We have 50 oz of a 15% saline solution. So we have 50*0.15 = 7.5 oz of pure saline out of 50 oz of the total solution.

So we have this fraction so far: and that will equal 0.15 (which is 15%) since we have a 15% solution.

The numerator is the amount of pure saline. The denominator is the total amount of solution (saline + water)

We are adding some x ounces of pure water. So we'll be adding x just in the denominator only. We are NOT adding any pure saline.

So we end up with this fraction and that fraction is forced to be equal to 0.10 since we want a 10% final saline solution. So we get

Now solve for x

So you must add 25 ounces of pure water.
RELATED QUESTIONS
how many ounces of pure water must be mixed with 50 ounces of a 15% saline solution to... (answered by josmiceli)

How many ounces of a 15% saline solution must be added to 30 ounces of a 5% saline to... (answered by checkley75,Earlsdon)

how many ounces of a 30% solution must be added to 50 ounces of a 12% saline solution to... (answered by kittycat1613)

How many ounces of a 30% saline solution must be added to 60 ounces of a 20% saline... (answered by MathTherapy)

How much water must be added to 20 ounces of a 60% saline solution to obtain a 45% saline (answered by josmiceli)

How many ounces of a 25 percent saline solution must be added to 50 ounces of a 13... (answered by jorel1380)

how many ounces of a 20% saline solution must be added to 50 ounces of a 4% saline... (answered by jorel1380)

how many ounces of pure water must be added to 60 ounces of a solution that is 20% water... (answered by mananth)

Please help me with this question,How many grams of pure water must be added to 40 grams... (answered by ankor@dixie-net.com)