SOLUTION: Brand X sells 20lbs bags of mixed nuts that contain 27% peanuts. To make their product they combine Brand A mixed nuts which contain 30% peanuts and brand B mixed nuts which contai

Question 710493: Brand X sells 20lbs bags of mixed nuts that contain 27% peanuts. To make their product they combine Brand A mixed nuts which contain 30% peanuts and brand B mixed nuts which contains 25% peanuts. How much of each do they need to use?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This and so many like it can all be done through assigning variables, solving for the unknown variable or variables, and then substitute the known values to finish the answer.

I'll do this one mostly through the use of the known values with the unknowns directly, and then solve the system.

x and y, for pounds of Brand B and Brand A, in that order (remember, brand B has less percent peanuts than brand A).

Account for the peanuts.
x*30+y*25

Account for the total 20 pounds of mixture.
x+y=20

Wanted, 27% peanuts:

AND

Solve the system.

30x+25y=20*27
30x+25(20-x)=20*27, did a substitution for y from the 20pounds equation.
.
skipping steps for brevity,
, for Brand B
therefore for Brand A.
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