SOLUTION: Brand X sells 21 oz. bags of mixed nuts that
contain 29% peanuts. To make their
product they combine Brand A mixed nuts
which contain 35% peanuts and Brand B
mixed nuts which c
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-> SOLUTION: Brand X sells 21 oz. bags of mixed nuts that
contain 29% peanuts. To make their
product they combine Brand A mixed nuts
which contain 35% peanuts and Brand B
mixed nuts which c
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Question 198078: Brand X sells 21 oz. bags of mixed nuts that
contain 29% peanuts. To make their
product they combine Brand A mixed nuts
which contain 35% peanuts and Brand B
mixed nuts which contain 25% peanuts.
How much of each do they need to use? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = ounces of brand A nuts used
Let = ounces of brand B nuts used
In words:
(ounces of peanuts in final mixture)/(total ounces of mixture) = 29%
(1)
(2)
Multiply both sides of (2) by and
subtract (2) from (1)
(1)
(2)
-----------------------------
and, since
8.4 ounces of brand A and 12.6 ounces of brand B are needed
check:
OK
