SOLUTION: A grocer mixes peanuts that cost $1.49 per pound and walnuts that cost $2.69 per pound to make 100 pounds of a mixture that costs $2.21 per pound. How much of each kind of nut is p
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Question 1158768: A grocer mixes peanuts that cost $1.49 per pound and walnuts that cost $2.69 per pound to make 100 pounds of a mixture that costs $2.21 per pound. How much of each kind of nut is put into the mixture? Found 3 solutions by josgarithmetic, VFBundy, greenestamps:Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! Lbs. of peanuts = p
Lbs. of walnuts = w
p + w = 100
1.49p + 2.69w = 2.21(100)
p + w = 100
1.49p + 2.69w = 221
Multiply first equation by -2.69:
-2.69p - 2.69w = -269
1.49p + 2.69w = 221
Add equations together:
-1.20p = -48
p = 40
Since we now know p = 40...and p + w = 100...that means w = 60.
Lbs. of peanuts = p = 40
Lbs. of walnuts = w = 60
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