SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 112 ounces of Solution A with 28 ounces of Solution B gives 140 ounces

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 112 ounces of Solution A with 28 ounces of Solution B gives 140 ounces      Log On


   



Question 353737: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 112 ounces of Solution A with 28 ounces of Solution B gives 140 ounces of a mixture that is 40% salt. Combining 72 ounces of Solution A with 108 ounces of Solution B gives 180 ounces of a mixture that is 50% salt.
Answer by mananth(16946) About Me  (Show Source):
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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 112 ounces of Solution A with 28 ounces of Solution B gives 140 ounces of a mixture that is 40% salt. Combining 72 ounces of Solution A with 108 ounces of Solution B gives 180 ounces of a mixture that is 50% salt.
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Shall we assume the question?
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what is the strength of the original solutions?
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let salt content of A be x%
salt content of B be y %
0.01x*112+0.01y*28= 140*0.4
1.12x+0.28y=56=0.......................1
0.01x*72+0.01y*108=0.5*180
0.72x +1.08y=90........................2
solve the equations 1 &2 you will get
A= 35% B= 60%
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m.ananth@hotmail.ca