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.

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) (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
:
pounds of pecans
:
pounds of walnuts
Answer by MathTherapy(10552) (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:
.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.

RELATED QUESTIONS
How many pounds of walnuts at $0.84/lb should be mixed with 20 lb of pecans at $1.20/lb... (answered by josgarithmetic)
Walnuts sell for $4.80 per pound an pecans sell for $6.40 per pound. How many pounds of... (answered by checkley79)
how many pounds of candy worth $4.50/lb must be mixed with 100 pounds worth $3.50/lb to... (answered by checkley77)
How many pounds of sunflower seed ($.70/lb) must be mixed with raisins & nuts ($1.90/lb)... (answered by mananth)
How many pounds of candy selling at $3.75/lb should be mixed with 39 pounds of candy... (answered by nyc_function)
How many pounds of candy worth $8 per lb should be mixed with 100 lb of candy worth $4... (answered by Edwin McCravy)
A grocer buys walnuts for $0.45/lb. and pecans for $0.60/lb. If the nuts must be... (answered by ankor@dixie-net.com)
the owner of a local chocolate shop wants to develop a new trail mix. how many pounds of... (answered by checkley77)
Jason is making a nut mixture to sell at the local farmers' market. He mixes 3 pounds of... (answered by josgarithmetic)