SOLUTION: how many ounces of nuts consisting 80 cents a pound must be mixed with nuts costing 60 cents a pound to make a 10 ounce mixture costing 70 cents a pound?

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Question 368936: how many ounces of nuts consisting 80 cents a pound must be mixed with nuts costing 60 cents a pound to make a 10 ounce mixture costing 70 cents a pound?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 80 cents/lb nuts and B the amount of 60 cents/lb nuts.
1.A%2BB=10
.
.
80A%2B60B=70%2810%29
2.4A%2B3B=35
.
.
Multiply eq. 1 by (-3) and add to eq. 2,
-3A-3B%2B4A%2B3B=-30%2B35
highlight%28A=5%29lbs
Then from eq. 1,
5%2BB=10
highlight%28B=5%29lbs