SOLUTION: A grocer mixes peanuts that cost $2.49 per pound and walnuts that cost $3.89 per pound to make 100 pounds of a mixture that costs $3.19 per pound. How much of each kind of nut is p

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Question 349627: A grocer mixes peanuts that cost $2.49 per pound and walnuts that cost $3.89 per pound to make 100 pounds of a mixture that costs $3.19 per pound. How much of each kind of nut is put into the mixture?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Let A be the amount of peanuts.
Let B be the amount of walnuts.
1.A%2BB=100
.
.
.
249A%2B389B=319%28100%29
2.249A%2B389B=31900
From eq. 1,
A=100-B
249%28100-B%29%2B389B=31900
24900-249B%2B389B=31900
140B=7000
highlight%28B=50%29lbs
Then from eq. 1,
A%2B50=100
highlight%28A=50%29lbs