SOLUTION: 1 solution is 23 acid and another solution is 57 percent acid how many milliliters of each should be mixed to obtain 34 millimeters of a solution that is 32 percent acid

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Question 855231: 1 solution is 23 acid and another solution is 57 percent acid how many milliliters of each should be mixed to obtain 34 millimeters of a solution that is 32 percent acid
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1 solution is 23 acid and another solution is 57 percent acid how many milliliters of each should be mixed to obtain 34 millimeters of a solution that is 32 percent acid
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Quantity Eq:: t + f = 34 ml
Acid Eq:: 0.23t + 0.57f = 0.32*34
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Modify for elimination:
23t + 23f = 23*34
23t + 57f = 32*34
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34f = 9*34
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f = 9 ml (amt. of 57% solution needed)
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t = 34-9 = 25 ml (amt. of 23% solution needed)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ml of 23% solution needed
Let +b+ = ml of 57% solution needed
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(1) +a+%2B+b+=+34+
(2) +%28+.23a+%2B+.57b+%29+%2F+34+=+.32+
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(2) +.23a+%2B+.57b+=+.32%2A34+
(2) +.23a+%2B+.57b+=+10.88+
(2) +23a+%2B+57b+=+1088+
Multiply both sides of (1) by +23+
and subtract (1) from (2)
(2) +23a+%2B+57b+=+1088+
(1) +-23a+-+23b+=+-782+
+34b+=+306+
+b+=+9+
and
(1) +a+%2B+b+=+34+
(1) +a+=+34+-+9+
(1) +a+=+25+
25 ml of 23% solution is needed
9 ml of 57% solution is needed
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check:
(2) +%28+.23%2A25+%2B+.57%2A9+%29+%2F+34+=+.32+
(2) +5.75+%2B+5.13+=+.32%2A34+
(2) +10.88+=+10.88+
OK