SOLUTION: For an experiment, a student requires 200 milliliters of a solution that is 12 % NaCl (sodium chloride). The storeroom has only solutions that are 15 % NaCl and 5 % NaCl. How many

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Question 1047076: For an experiment, a student requires 200 milliliters of a solution that is 12 % NaCl (sodium chloride). The storeroom has only solutions that are 15 % NaCl and 5 % NaCl. How many milliliters of each available solution should be mixed to get 200 milliliters of 12 % NaCl?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ml of 5% NaCl solution
Let +b+ = ml of 15% NaCl solution
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(1) +a+%2B+b+=+200+
(2) +%28+.05a+%2B+.15b+%29+%2F+200+=+.12+
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(2) +.05a+%2B+.15b+=+24+
(2) +5a+%2B+15b+=+2400+
(2) +a+%2B+3b+=+480+
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Subtract (1) from (2)
(2) +a+%2B+3b+=+480+
(1) +-a+-+b+=+-200+
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+2b+=+280+
+b+=+140+
and
(1) +a+%2B+b+=+200+
(1) +a+%2B+140+=+200+
(1) +a+=+60+
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60 ml of 5% NaCl solution is needed
140 ml of 15% NaCl solution is needed
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check:
(2) +%28+.05a+%2B+.15b+%29+%2F+200+=+.12+
(2) +%28+.05%2A60+%2B+.15%2A140+%29+%2F+200+=+.12+
(2) +%28+3+%2B+21+%29+%2F+200+=+.12+
(2) +24+=+.12%2A200+
(2) +24+=+24+
OK