SOLUTION: Walnuts are 2.25/lb and Almonds are 2.40/lb. You want to create a mixture that equals 120 lbs at 2.30/lb. How do you solve this word problem?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Walnuts are 2.25/lb and Almonds are 2.40/lb. You want to create a mixture that equals 120 lbs at 2.30/lb. How do you solve this word problem?      Log On

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Question 387845: Walnuts are 2.25/lb and Almonds are 2.40/lb. You want to create a mixture that equals 120 lbs at 2.30/lb. How do you solve this word problem?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of walnuts and B the amount of almonds.
1.A%2BB=120
.
.
225A%2B240B=120%28230%29
2.15A%2B16B=1840
Multiply eq. 1 by (-15) and add to eq. 2,
-15A-15B%2B15A%2B16B=-1800%2B1840
highlight%28B=40%29lbs
Then from eq. 1,
A%2B40=120
highlight%28A=80%29lbs