SOLUTION: A wild birdseed mix is made by combining 100lb. of millet seed costing $0.60 per lb. with sunflower seeds costing $1.10 per pound. How many pounds of sunflower seeds are needed to

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Question 1422: A wild birdseed mix is made by combining 100lb. of millet seed costing $0.60 per lb. with sunflower seeds costing $1.10 per pound. How many pounds of sunflower seeds are needed to make a mixture that costs $0.70 per lb?
Answer by DeepaEvangeline(15) About Me  (Show Source):
You can put this solution on YOUR website!
Number of pounds of millet seed is x = 100lb
Number of pounds of sunflower seed is y
Total pounds of the mix is x+y
Cost of millet seed is $0.60 per lb
Cost of sunflower seed is $1.10 per lb
Cost of the mix is $0.70 per lb
Cost of the mix per lb = (x * 0.60 + y * 1.10) / (x+y) = 0.70
where x = 100
Therefore the above eqn becomes
(100 * 0.60 + 1.1y)/(100+y) = 0.70
60 + 1.1y = 0.70(100+y)
60 + 1.1y = 70 + 0.70y
1.1y - 0.70y = 70 - 60
0.40y = 10
y = 10/.4 = 25
Therefore you require 25 pounds of sunflower seeds to make a mixture that costs $0.70 per lb.