SOLUTION: How much water should be added to 250 milliliters of 30% salt to make a mixture of 20% salt solution? What is the total volume of the 20% salt solution?

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Question 1065555: How much water should be added to 250 milliliters of 30% salt to make a mixture of 20% salt solution? What is the total volume of the 20% salt solution?

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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How much water should be added to 250 milliliters of 30% salt to make a mixture of 20% salt solution?
What is the total volume of the 20% salt solution?
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Let W be the volume of water to add, in milliliters.

Then the volume of the new solution is 250+W milliliters.

The salt contents is and will be the same: 0.3*250 grams.

Related to 250+W milliliters of solution, the new concentration is

%280.3%2A250%29%2F%28250%2BW%29.

It should be 20% concentration, which gives you an equation

%280.3%2A250%29%2F%28250%2BW%29 = 0.2,   or

0.3*250 = 0.2*(250+W),

75 = 50 + 0.2W  --->  0.2W = 75-50 = 25  --->  W = 25%2F0.2 = 125.


Answer. 125 milliliters of water must be added.

There is entire bunch of lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
in this site.

Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".