SOLUTION: Mary needs 180 pounds of a 9 % nut mixture. She has a container of 33 % pecans and a container of 1 % cashews. How many pounds of cashews should she mix to get the 9% mixture?

Question 814273: Mary needs 180 pounds of a 9 % nut mixture. She has a container of 33 % pecans and a container of 1 % cashews. How many pounds of cashews should she mix to get the 9% mixture?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It took me a few minutes to realize that
a pecan is not a nut. It's a seed right?
Let = pounds of pecan mixture needed
Let = pounds of cashew mixture needed
---------------
(1)
(2)
----------------------------
(2)
(2)
(2)
and
(1)
Substitute (1) into (2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
135 pounds of cashew mixture are needed, and
the actual pounds of cashews are:
= 1.35 pounds
check:
(2)
(2)
(2)
(2)
(2)
OK
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