SOLUTION: How do I set this problem up: If a farmer stand owner mixes apple juice and cranberry juice, how much should he charge if he mixes 8L of apple juice selling for 45 cents a liter w

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Question 451898: How do I set this problem up:
If a farmer stand owner mixes apple juice and cranberry juice, how much should he charge if he mixes 8L of apple juice selling for 45 cents a liter with 10L of cranberrt juice sellling for $1.08 a liter.

Found 4 solutions by mananth, jorel1380, josmiceli, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
(45*8+10*108) / (45+10)
=26 cents

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
%28%288x.45%29%2B%2810x1.08%29%29%2F%288%2B10%29
%283.60%2B10.80%29%2F18=.80
The farmer should charge $.80 per liter for his juice..

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The farmer will mix +8+%2B+10+=+18 liters of juice
Let c = cost in cents of mixture
Cost of apple juice = +8%2A45+=+360+ cents
Cost of cranberry juice = 10%2A108+=+1080+ cents
Cost of mixture:
+360+%2B+1080+=+1440+
He should sell the mixture for $14.40
That is +1440+%2F+18+=+80+
80 cents/liter

Answer by ikleyn(53570) About Me  (Show Source):
You can put this solution on YOUR website!
.
How do I set this problem up:
If a farmer stand owner mixes apple juice and cranberry juice, how much should he charge
if he mixes 8L of apple juice selling for 45 cents a liter with 10L of cranberry juice selling for $1.08 a liter.
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        In the post by @mananth,  the solution is  FATALLY  WRONG  and explained  INCORRECTLY.
        I came to make the job in a right way as it  SHOULD  be done.


The total price for the mixture is  0.45*8 + 1.08*10 = 14.40 dollars.


The total volume of the mixture is 8 liters + 10 liters = 18 liters.


Therefore, it is logical to assume that this mixture should be sell at the price 

    14.40%2F18 = 0.8 dollars per liter, or 80 cents per liter.



In compact form, the formula for the price per liter is

    %280.45%2A8%2B1.08%2A10%29%2F%288%2B10%29 = 0.80 dollars per liter.    ANSWER

Solved and explained in a right way,  as it should be done.

For the peace in your mind,  ignore that nonsense in the post by @mananth.