SOLUTION: I have been struggling to figure out this problem and I was wondering if someone could help me? Please and Thank you!! I would deeply appreciate it. A grocer wants to mix peanut

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Question 154029This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling to figure out this problem and I was wondering if someone could help me? Please and Thank you!! I would deeply appreciate it.
A grocer wants to mix peanuts and cashews to produce 20lb of mixed nuts worth $6.20/lb. How many pounds of each kind of nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb. This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
8X+4.8(20-X)=6.2*20
8X+96-4.8X=124
3.2X=124-96
3.2X=28
X=28/3.2
X=8.75 LBS. OF $8 CASHEWS.
20-8.75=11.25 LBS OF PEANUTS.
PROOF:
8*8.87+4.8*11.25=124
70+54=124
124=124