SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is 70% salt. She wants to o

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Question 1025706: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is 70% salt. She wants to obtain 70 ounces of a mixture that is 55% salt. How many ounces of each solution should she use?
solution A = x ounces
Solution B = x ounces
thank you to whoever answers :)

Found 3 solutions by josgarithmetic, lwsshak3, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, how many ounces of 45% solution;
70-x, how many ounces of 70% solution;
Just to inform you, these concentrations of salt are meaningless because they are impossible. IF you had them in water solution... but they could be physical mixtures in some powder material.

%2845x%2B70%2870-x%29%29%2F70=55

9x%2B14%2870-x%29=70%2A11

9x%2B980-14x=770

-5x=770-980

x=%28980-770%29%2F5

x=210%2F5

x=42

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is 70% salt. She wants to obtain 70 ounces of a mixture that is 55% salt. How many ounces of each solution should she use?
solution A = x ounces
Solution B = x ounces
let x=Amt of solution A used
70-x=Amt of solution B used
45%x+70%(70-x)=55%*70
.45x+49-.7x=38.5
.25x=10.5
x=12
70-x=58
Amt of solution A used=12 ounces
Amt of solution B used=58 ounces

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is 70% salt. She wants to obtain 70 ounces of a mixture that is 55% salt. How many ounces of each solution should she use?
solution A = x ounces
Solution B = x ounces
thank you to whoever answers :)