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 Brand B mixed nuts which contain 2

Question 198835: 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 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 they need
Let = ounces of brand B they need
given:
= ounces of peanuts in brand A
= ounces of peanuts in brand B

= ounces of peanuts in final mixture
--------------------
In words:
(total ounces of peanuts) / (total ounces of mixture) = % peanuts
(1)
(2)
Multiply both sides of (2) by
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since

They need 8.4 ounces of brand A and 12.6 ounces of brand B
check answer:
(2)
(2)

OK
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