SOLUTION: You want to mak 10 pound mixture of almonds and peanuts that is worth $4.60 per pound. The almonds are worth $5 per pound and the peanuts are worth $3 per pound. How many almonds

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Question 323862: You want to mak 10 pound mixture of almonds and peanuts that is worth $4.60 per pound. The almonds are worth $5 per pound and the peanuts are worth $3 per pound. How many almonds and peanuts should you use?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the weight of almonds, P the weight of peanuts.
1.A%2BP=10
2.5A%2B3P=4.60%2810%29=46
Multiply eq. 1 by -5 and add to eq. 2,
-5A-5P%2B5A%2B3P=-50%2B46
-2P=-4
P=2
Then from eq. 1,
A%2B2=10
A=8
8 lbs of almonds and 2 lbs of peanuts.