SOLUTION: A 16-ounce mixed nut product containing 13.5% peanuts is to be packaged. The packager has a three-mixed nut product containing 6%, 10%, and 50% peanut concentrations in stock. If

Question 1092323: A 16-ounce mixed nut product containing 13.5% peanuts is to be packaged. The
packager has a three-mixed nut product containing 6%, 10%, and 50% peanut
concentrations in stock. If the amount of 50% peanut product is to be onequarter
that of the 10% peanut product, then how much of each will be needed
to produce the desired peanut concentration?
Found 2 solutions by josmiceli, addingup:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 6% peanuts needed
Let = ounces of 10% peanuts needed
Let = ounces of 50% peanuts needed
-----------------------------------------
(1)
(2)
(3)
-------------------------------------
There are 3 equations and 3 unknowns, so it's solvable
(2)
(2)
(2)
-------------------------------
Multiply both sides of (1) by
(1)
------------------------------

and
(3)

and

and
(1)
(1)
(1)
(1)
----------------------
6 ounces of 6% peanuts are needed
8 ounces of 10% peanuts are needed
2 ounces of 50% peanuts are needed
----------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
This is what will be needed:
6 oz of the 6% peanut stock, 8 oz of the 10% peanut stock, and 2 oz of the 50% peanut stock.

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