SOLUTION: A grocer wants to mix peanuts and cashews to produce 20lbs. 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 co

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Question 125706This question is from textbook Algebra and Trigonometry Structure and Method Book 2 McDougal Littell
: A grocer wants to mix peanuts and cashews to produce 20lbs. 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 McDougal Littell

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A grocer wants to mix peanuts and cashews to produce 20lbs. 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?
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Let amt. of peanuts be "x" ; Value is 4.8x dollars
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Amt. of cashews is "20-x" ; Value is 8(20-x)=160-8x dollars
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Amt of mixture is 20 lbs ; Value is 6.2*20 = 124 dollars
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EQUATION:
value + value = 124 dollars
4.8x + 160-8x = 124
-3.2x = -36
x = 11.25 lbs (amt. of peanuts needed in the mix)
20-x = 8.75 lbs (amt of cashews needed in the mix)
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Cheers,
Stan H.