SOLUTION: Juan wants to make a trail mix that contains 40% pecans. He has a bag of trail mix that has only 25% pecans at home and another bag that contains only pecans. How much of each shou

Question 862888: Juan wants to make a trail mix that contains 40% pecans. He has a bag of trail mix that has only 25% pecans at home and another bag that contains only pecans. How much of each should he mix together to make a 16-oz bag of trail mix that contains 40% pecans?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 25% pecan mix needed
Let = ounces from bag of only pecans needed
= ounces of pecans in the 25% mix
----------------
(1)
(2)
--------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and
(1)
(1)
------------------
12.8 ounces of 25% pecan mix are needed
3.2 ounces from bag of only pecans are needed
------------------
check:
(2)
(2)
(2)
(2)
(2)
OK

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