SOLUTION: Solve Problems Using Linear Systems 16. One type of fertilizer has 30% nitrogen and a second type has 15% nitrogen. If a farmer needs 600kg of fertilizer that is 20% nitrogen, how

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve Problems Using Linear Systems 16. One type of fertilizer has 30% nitrogen and a second type has 15% nitrogen. If a farmer needs 600kg of fertilizer that is 20% nitrogen, how      Log On


   

Question 184814: Solve Problems Using Linear Systems
16. One type of fertilizer has 30% nitrogen and a second type has 15% nitrogen. If a farmer needs 600kg of fertilizer that is 20% nitrogen, how much of each type should the farmer mix together?
Thank you very much.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.30X+.15(600-X)=600*.20
.30X+90-.15X=120
.15X=120-90
.15X=30
X=30/.15
X=2000 KG. OF 30% NITROGEN.
600-200=400 KG. OF .15% NITROGEN.
PROOF:
.30*200+.15*400=120
60+60=120