SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 44 ounces of Solution A with 66 ounces of Solution B gives 110 ounces
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Question 732409: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. Combining 44 ounces of Solution A with 66 ounces of Solution B gives 110 ounces of a mixture that is 55% salt. Combining 14 ounces of Solution A with 56 ounces of Solution B gives 70 ounces of a mixture that is 60 salt. What are the percentages of salt in the two solutions?
Answer by stanbon(75887) (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. Combining 44 ounces of Solution A with 66 ounces of Solution B gives 110 ounces of a mixture that is 55% salt. Combining 14 ounces of Solution A with 56 ounces of Solution B gives 70 ounces of a mixture that is 60 salt. What are the percentages of salt in the two solutions?
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a is % of salt in A
b is % of salt in B
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Note: salt + salt = salt
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44a + 66b = 55*110
14a + 56b = 60*70
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Modify:
4a + 6b = 55*10
4a + 16b = 60*20
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Subtract and solve for "b":
10b = 650
b = 65%
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Solve for "a":
4a + 16*65 = 60*20
4a = 160
a = 40% (
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Cheers,
Stan H.
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