Acafeteria worker needs to make a mixture of 100 liters of 50 percent solution of apple juice. how many liters of 80 percent solution of apple juice and a 30 percent solution of apple juice are needed?

40 L of 80 percent solution and 60 L of 30 percent solution

Step-by-step explanation:

The total mixture of 100 L of apple juice of solution must contain:

solution of apple juice ---> Let's call it

solution of apple juice ---> Let's call it

So, we can set these values in a table taking into account , and :

Now, with the information of the column we can write the first equation:

(1)

And with the information of the column, the second equation:

(2)

At this point we are able to calculate how many litters have and .

Isolating from (2):

(3)

Substituting (3) in (1):

(4)

(5) 40 L of solution A

Substituting (5) in (2):

(6)

(7) 60 L of solution B

Therefore, the cafeteria worker needs to mix 40 L of solution A with 60 L of solution B.

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step-by-step explanation: