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

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) (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) (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
RELATED QUESTIONS
A farmer wants to mix a liquid fertilizer that contains 2% nitrogen with one that... (answered by richwmiller,oberobic)
a fertilizer manufacturer has two fertilizers, one which contains 24% nitrogen, and the... (answered by DrBeeee)
A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many... (answered by macston)
A farmer needs 120 gallons of an 18% nitrogen fertilizer. But the farmer only has 10%... (answered by stanbon)
A landscaper wants to use a fertilizer blend that is 8% nitrogen. He will mix a 10%... (answered by ankor@dixie-net.com)
A landscaper wants to use a fertilizer blend that is 8% nitrogen. He will mix a 10%... (answered by josgarithmetic)
The Good Seed Flower Shop sells its own brand of fertilizer. It mixes one brand of... (answered by checkley77)
The Good Seed Flower Shop sells its own brand of fertilizer. It mixes one brand of... (answered by mananth)
Solve using substitution/Addition By weight a 10-10-10 fertilizer contains 10.0%... (answered by Theo)