SOLUTION: A grocer wants to mix peanuts and cashews to produce 20 lb of mixed nuts worth $6.20/lb. How many pounds of each nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A grocer wants to mix peanuts and cashews to produce 20 lb of mixed nuts worth $6.20/lb. How many pounds of each nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb?      Log On

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Question 97990This question is from textbook
: A grocer wants to mix peanuts and cashews to produce 20 lb of mixed nuts worth $6.20/lb. How many pounds of each nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb? This question is from textbook

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = peanuts
Let y=cashews
.
$4.80x + 8y =($20lbs.)($6.80)
4.80+8y=136
.
Let x+y=20lbs
So, y=20-x
Than, 4.80x+8(20-x)=136
4.80x+160-8x=136
4.80-8x=136-160
3.20x=24
3.20x/3.20=24/3.60
x=7.50
.
Since x= 7.50 lbs
Than, y=20-x=20-x=20-7.50=12.50 lbs
.
Check by plugging all of the values back into the original equation and solve:
$4.80x + 8y =($20lbs.)($6.80)
$4.80(7.50 lbs) + ($8)(12.50lbs) = 136
36+100=136
136=136 [checks out]