SOLUTION: Alice's grandfather uses brine solution to make pickles. He has 8 gallons of
5% brine solution (5% salt and 95% water). How much of this solution should
be poured out and replace
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-> SOLUTION: Alice's grandfather uses brine solution to make pickles. He has 8 gallons of
5% brine solution (5% salt and 95% water). How much of this solution should
be poured out and replace
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Question 1073676: Alice's grandfather uses brine solution to make pickles. He has 8 gallons of
5% brine solution (5% salt and 95% water). How much of this solution should
be poured out and replaced with water to result in a 3% brine solution?
Let x be the volume to be poured and replaced.
Then (40-v) is the volume of the remained original solution.
The mass of salt in (40-v) liters of the 5% solution is 0.05*(40-v).
Thus the concentration equation is
= 0.03.
Simplify and solve for v:
0.05*(40-v) = 0.03*40 ---> 2 - 0.05v = 1.2 ---> 2 - 1.2 = 0.05v ---> v = = 16.
Answer. 16 liters of the original 5% solution must be poured and replaced.
Check. = 0.03.
