A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
70 % salt and Solution B is 95 % salt. She wants to obtain 80 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
1 answer:
<h3>Answer:</h3>
- 32 ounces of 95% salt
- 48 ounces of 70% salt
<h3>Explanation:</h3>
Let x represent the number of ounces of 95% salt she should use.
Then the total amount of salt in the 80 ounces of solution is ...
... 0.95x + 0.70(80-x) = 0.80·80
... 0.25x = 64 -56 . . . . . . . collect terms, subtract 56
... x = 8·4 = 32 . . . . . . . . . . multiply by 4
She should use 32 ounces of 95% salt and (80-32=) 48 ounces of 70% salt,
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