SOLUTION: Brazil nuts sell for $5 per pound and walnuts are sell for 3.50 per pound. How much of each type of nut would be needed to create 30 pounds of a mixture that would sell for $4 per

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Question 127483: Brazil nuts sell for $5 per pound and walnuts are sell for 3.50 per pound. How much of each type of nut would be needed to create 30 pounds of a mixture that would sell for $4 per pound?
Found 2 solutions by checkley71, josmiceli:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
5b+3.5(30-b)=4*30
5b+105-3.5b=120
1.5b=120-105
1.5b=15
b=15/1.5
b=10 pounds of Brazil nuts is needed.
30-10=20 pounds of Walnuts is needed.
Proof:
5*10+3.5(30-10)=4*30
50+3.5*20=120
50+70=120
120=120

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let b = pounds of brazil nuts
Let w = pounds of walnuts
In words:
(price per pounds of brazil nuts)x(pounds of brazil nuts)
+ (price per pound of walnuts)x(pounds of walnuts)
divided by
(pounds of mixture) = price per pound of mixture
b+%2B+w+=+30
w+=+30+-+b
%285b+%2B+3.5w%29+%2F+30+=+4
5b+%2B+3.5w+=+120
5b+%2B+3.5%2A%2830+-+b%29+=+120
5b+%2B+105+-+3.5b+=+120
1.5b+=+15
b+=+10
w+=+30+-+10
w+=+20
10 pounds of brazil nuts and 20 pounds of walnuts are needed
check:
5b+%2B+3.5w+=+120
5%2A10+%2B+3.5%2A20+=+120
50+%2B+70+=+120
120+=+120
OK