SOLUTION: A seedman has seeds worth 50 per pound mixed with seeds worth 80 per pound. If he wishes to make a mixture of 30 pounds to sell at 75 per pound, how many pounds of each should he u

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Question 324838: A seedman has seeds worth 50 per pound mixed with seeds worth 80 per pound. If he wishes to make a mixture of 30 pounds to sell at 75 per pound, how many pounds of each should he use?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the $50/lb mix, B the $80/lb mix.
1.A%2BB=30
2.50A%2B80B=75%2830%29=2250
From eq. 1,
A=30-B
Substitute,
50%2830-B%29%2B80B=2250
1500-50B%2B80B=2250
30B=750
highlight%28B=25%29
Then from above,
A=30-25
highlight%28A=5%29
.
.
.
Use 5 lbs of $50/lb mix, $25 of the $80/lb mix.