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

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

RELATED QUESTIONS
Brand X sells 21 oz bags of mixed nuts that contain 29% peanuts. To make their product... (answered by ptaylor)

Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product... (answered by josmiceli)

Brand X sells 32 oz. bags of mixed nuts that contain 52% peanuts. To make their product (answered by ikleyn)

PLEASE HELPPPPPP Brand X sells 32 oz. bags of mixed nuts that contain 52% peanuts. To... (answered by Boreal)

Brand X sells 21 oz. bags of mixed nuts contain 29% peanutes. To make their product they... (answered by jorel1380)

Brand X sells 20 oz. bags of mixed nuts that contain 28% peanuts. To make their product... (answered by FrankM,addingup)

Brand X sells 20lbs bags of mixed nuts that contain 27% peanuts. To make their product... (answered by josgarithmetic)

Farmer Jessica's Produce Stand sells 21 kg bags of mixed nuts that contain 38% peanuts.... (answered by checkley77)

Brand C sells 21g bags of chocolate that contain 29% saturated fats. To make their... (answered by stanbon)