SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 85% salt. She wants to o

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Question 770910: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 85% salt. She wants to obtain 120 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Wow! 65% salt solution!
What kind of salt? Which solvent?
Sodium Chloride in water can go to about 24% maximum, and is less soluble in any other solvents.

We can still play with the algebra.

Assign variables.
H = percent, high concentration salt solution
L = percent, low concentration salt solution
T = percent solution concentration wanted as target
u = amount of L to use
v = amount of H to use
M = amount of resulting mixture

Equations for the mixture.
%28Lu%2BHv%29%2FM=T and u%2Bv=M
The unknown variables would be u and v. Solve for u and v.