SOLUTION: Mixing Fertilizer. A farmer wants to mix a liquid fertilizer that contains 2% nitrogen with the one that contains 10% nitrogen to obtain 40 gallons of a fertilizer that contains 8

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Question 224869: Mixing Fertilizer. A farmer wants to mix a liquid fertilizer that contains 2% nitrogen with the one that contains 10% nitrogen to obtain 40 gallons of a fertilizer that contains 8% nitrogen. How many gallons of each fertilizer should be used?
Found 2 solutions by wowkids38, checkley77:
Answer by wowkids38(4) About Me  (Show Source):
You can put this solution on YOUR website!
2n+10n=40+4n
8n=40
n=5
5 gallons of each fertilizer should be used

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.10x+.02(40-x)=.08*40
.10x+.8-.02x=3.2
.10-.02x=3.2-.8
.08x=2.4
x=2.4/.08
x=30 gal. of 10% mix is used.
40-30=10 gal. of 2% mix is used.
Proof:
.10*30+.02*10=3.2
3+.2=3.2
3.2=3.2