SOLUTION: Planter's Peantut Co. wants to mix 20 lbs of peanuts worth $3 a pound with cashews worth $5 a pound in order to make an experimental mix worth $3.50 a pound. How many pounds of ca

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Question 41835This question is from textbook
: Planter's Peantut Co. wants to mix 20 lbs of peanuts worth $3 a pound with cashews worth $5 a pound in order to make an experimental mix worth $3.50 a pound. How many pounds of cashews should be added to the peanuts? This question is from textbook

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Let us suppose that 20 pounds of peanuts is mixed with 'x' pounds of cashew.

Cost of 20 lbs. of peanuts = $(3x20) = $60.
Cost of cashew nuts = $5 per pound.
So cost of 'x' pounds of cashew = $5x.
So the cost of the mixture of 20 lbs. of peanut and 'x' lbs. of cashew = $(60+5x).
In other words cost of (20 + x) lbs. of the mixture = $(60+5x).
So, cost of each pound of the mixture = $%2860%2B5x%29%2F%2820%2Bx%29.
Given, the price of this mixture is $3.5 per pound.

So, %2860%2B5x%29%2F%2820%2Bx%29+=+3.5
or %2860%2B5x%29+=+3.5%2820%2Bx%29
or 60%2B5x+=+70+%2B+3.5x
or 5x-3.5x=70-60
or 1.5x+=+10
or x=20%2F3
or x = 6.67 (approx)

So 6.67 lbs. of cashew is to be added.