SOLUTION: Fred mixes snack mix with mixed nuts to make trail mix. The snack mix is 10% peanuts; the mixed nuts are 35% peanuts. How many ounces of each should he combine to make 8 ounces of

Question 275882: Fred mixes snack mix with mixed nuts to make trail mix. The snack mix is 10% peanuts; the mixed nuts are 35% peanuts. How many ounces of each should he combine to make 8 ounces of trail mix that is 20% peanuts?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In words:
(ounces of peanuts in 10% mix + ounces of peanuts in 35% mix)/(ounces of mix) = 20%
Let = ounces of 10% mix needed
Let = ounces of 35% mix needed

(1)

(2)
Multiply both sides of (1) by
and subtract from (2)
(2)
(1)

and, since

4.8 ounces of 10% mix and 3.2 ounces of 35% mix are needed
check:

OK

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