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

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Question 527745: 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!
He ends up with
ounces of pecans
Let = ounces of 25% mix needed
Let = ounces of 100% mix needed
given:
(1)
(2)
Multiply both sides of (2) by
. Then multiply both
sides of (1) by and subtract
(1) from (2)
(2)
(1)


and, since
(1)
(1)
12.8 ounces of 25% mix are needed
3.2 ounces of 100% mix are needed

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