SOLUTION: Frank needs to apply a 10% liquid nitrogen solution to his rose garden. He only has a 4% nitrogen solution and a 20% nitrogen solution. How much of each should he mix if he needs 1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Frank needs to apply a 10% liquid nitrogen solution to his rose garden. He only has a 4% nitrogen solution and a 20% nitrogen solution. How much of each should he mix if he needs 1      Log On


   

Question 807259: Frank needs to apply a 10% liquid nitrogen solution to his rose garden. He only has a 4% nitrogen solution and a 20% nitrogen solution. How much of each should he mix if he needs 10 gallons of a 10% nitrogen solution
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Frank needs to apply a 10% liquid nitrogen solution to his rose garden. He only has a 4% nitrogen solution and a 20% nitrogen solution. How much of each should he mix if he needs 10 gallons of a 10% nitrogen solution
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Equation:
nitro + nitro = nitro
0.04x + 0.20(10-x) = 0.10*10
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4x + 20*10 - 20x = 10*10
-16x = -10*10
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x = 50/8
x = 6.25 gallons (amt. 4% solution needed)
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10-x = 3.75 gallons (amt. of 20% solution Needed)
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Cheers,
Stan H.
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