SOLUTION: A chemical engineer mixed two chemical solutions of different strenghts 30% and 50% of the chemical solutions respectively. How many millimiters of the 30% and 50% strenghts must b

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Question 160150: A chemical engineer mixed two chemical solutions of different strenghts 30% and 50% of the chemical solutions respectively. How many millimiters of the 30% and 50% strenghts must be used to produced a mixture of 50 millimeters that contains 42% of the chemical solutions?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let T be the volume of 30% solution, F be the 50% solution.
Total volume
1.T%2BF=50
Total concentration
2.0.30T%2B0.50F=0.42%2850%29
2.30T%2B50F=2100
Multiply eq.1 by -30 and add to eq. 2 and solve for F,
-30T-30F%2B30T%2B50F=-1500%2B2100
20F=600
highlight%28F=30%29
From 1,
1.T%2BF=50
T%2B30=50
highlight%28T=20%29
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.
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20mL of 30% solution, 30 mL of 50% solution.