SOLUTION: How many liters each of a 3% chlorine solution and 5% chlorine solution must be mixed toghether to produce 500L of a 4.4% chlorine solution?

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Question 291713: How many liters each of a 3% chlorine solution and 5% chlorine solution must be mixed toghether to produce 500L of a 4.4% chlorine solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let T be the number of liters of 3% solution.
Let F be the number of liters of 5% solution.
Then,
Volume equation:
1.T%2BF=550
Concentration equation:
3T%2B5F=4.4%28550%29
2.3T%2B5F=2420
From eq. 1,
T%2BF=550
T=550-F
Substitute into eq. 2 and solve for F.
3T%2B5F=2420
3%28550-F%29%2B5F=2420
1650-3F%2B5F=2420
2F=770
F=385
Then from eq. 1,
T=550-385
T=165
.
.
.
165 liters of 3% solution and 385 liters of 5% solution.