SOLUTION: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound? x=12 , there are 12 pound

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Question 165564: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound?

x=12 , there are 12 pounds of almonds and 28 pounds of walnuts

need a break down of how x=12, and that there are 12 pounds of almonds and 28 pounds of walnuts.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = pound of almonds needed
Let w= pounds of walnuts needed
Given is
a+%2B+w+=+40
therefore
w+=+40+-+a
1.6a+%2B+1.1w+=+1.25%2A40
1.6a+%2B+1.1%2A%2840+-+a%29+=+50
1.6a+%2B+44+-+1.1a+=+50
.5a+=+50+-+44
.5a+=+6
a+=+12
w+=+40+-+a
w+=+28
12 lbs of almonds and 28 lbs of walnuts are needed