SOLUTION: A grocer mixes peanuts that cost $2.49 per pound and walnuts that cost $3.49 per pound to make 100 pounds of a mixture that costs $2.99 per pound. How much of each kind of nut is p

Question 994426: A grocer mixes peanuts that cost $2.49 per pound and walnuts that cost $3.49 per pound to make 100 pounds of a mixture that costs $2.99 per pound. How much of each kind of nut is put into the mixture?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
peanut pounds=p
walnut pounds=w
p+w=100
2.49p+3.49w=299 (2.99*100)
but p=(100-w)
2.49(100-w)+3.49 w=299
249-2.49w +3.49 w=299
w=50 lb
p=50 lb
Notice that this makes sense, since the price of the combination is exactly between the price of each, so each one constitutes half.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

One equation accounts for cost and the other accounts for mass.
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