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

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

Hi

We define

, wich means Brand A has 1 oz containing 35% peanuts.

, wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1)

(2), after fixing it a little

(2)

As we can use any method to solve the system, I used a calculator wich thrown the following results and .

answer: the answer is 35%