SOLUTION: Hi
there is 500g of a 8% salt solution.
if this is diluted with water to create a 5% salt solution, how many grams of water were added to the saline solution.
Thanks
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there is 500g of a 8% salt solution.
if this is diluted with water to create a 5% salt solution, how many grams of water were added to the saline solution.
Thanks
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Question 1148983: Hi
there is 500g of a 8% salt solution.
if this is diluted with water to create a 5% salt solution, how many grams of water were added to the saline solution.
Thanks Answer by greenestamps(13215) (Show Source):
(You should understand how to set up and solve mixture problems like this using a formal algebraic method.)
No additional salt was added; so the 8% of the original 500g needs to be 5% of the final (500+x)g:
You can finish the basic algebra to get the answer that way.
(2) Using logical reasoning....
If just getting the answer fast is what is important, and a formal algebraic solution is not required, then logical analysis will get you to an answer quickly.
(a) The final mixture percentage (5%) is 5/8 of the original percentage (8%).
(b) Since no salt was added, the original 500g must be 5/8 of the final mixture.
(c) 5/8 of the final mixture = 500g means the other 3/8 of the final mixture (the water that was added) is 300g.
