SOLUTION: A Farmer has a 6% solution and a 12% solution of pesticide. How much of each must the farmer mix to have 300 gallons of an 8% solution for her spray?

Question 816249: A Farmer has a 6% solution and a 12% solution of pesticide. How much of each must the farmer mix to have 300 gallons of an 8% solution for her spray?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
pesticide solutions by volume:
s = (p / w)100
where
p = chemical volume
w = water volume
---
s = volume of strong solution (gal)
w = volume of weak solution (gal)
---
s + w = 300
s = 300 - w
12s + 6w = (8)300
---
12s + 6w = (8)300
12(300 - w) + 6w = (8)300
3600 - 12w + 6w = 2400
6w = 1200
---
w = 200 gal
s = 100 gal
---
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