SOLUTION: How many pounds of walnuts at 84 cents Lb should be mixed with 20lb of pecans at $1.20/lb to give a mixture worth $1.04/lb.

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Question 179935: How many pounds of walnuts at 84 cents Lb should be mixed with 20lb of pecans at $1.20/lb to give a mixture worth $1.04/lb.
Found 2 solutions by Mathtut, MathTherapy:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the amount of walnuts and pecans respectively
:
x+y=20................eq 1
.84x+1.2y=1.04(20)....eq 2
:
rewrite eq 1 to x=20-y and plug that value into eq 2
:
.84(20-y)+1.2y=20.8
:
16.8-.84y+1.2y=20.8
:
.36y=4
:
highlight%28y=11.11%29pounds of pecans
:
highlight%28x=20-11.11=8.89%29pounds of walnuts

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this, we need to find the total amount of pounds of nuts (walnuts and pecans). We then need to find the total dollar amount that the walnuts and pecans cost. We then divide the total dollar amount by the total amount of pounds of nuts (walnuts and pecans).

Let amount of pounds of walnuts be w. Then, the total dollar amount paid for the nuts (walnuts and pecans) = .84(w) + 20(1.20) = .84w + 24.

Since the amount of pounds of walnuts is w, then the total amount of pounds of nuts (walnuts and pecans) equals w + 20.

We now get: %28.84w+%2B+24%29%2F%28w+%2B+20%29+=+1.04
.84w + 24 = 1.04w + 20.8
-.2w = -3.2
w = 16

So, 16 lbs of walnuts, at .84c per lb would need to be mixed with 20 lbs of pecans, at $1.20 per lb in order to get a mixture that costs $1.04 per lb.