SOLUTION: A farm stand owner mixes apple juice and cranberry juice. How much should he charge if he mixes 8 L of apple juice selling for 450/L with 10 L of cranberry juice selling for $1.08/

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Question 988379: A farm stand owner mixes apple juice and cranberry juice. How much should he charge if he mixes 8 L of apple juice selling for 450/L with 10 L of cranberry juice selling for $1.08/L?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
[ Cost of mixture ] =
[ cost/L of apple ]x[ L of apple ] + [ cost/L of cranberry ]x[ L of cranberry ]
------------------
Let +C+ = total cost of mixture )
+C+=+450%2A8+%2B+108%2A10+ ( in cents )
+C+=+3600+%2B+1080+
+C+=+4680+
[ Cost/L of mixture ] = [ C ] / [ L of mixture ]
+4680+%2F+%28+8+%2B+10+%29+=+4680+%2F+18+
+4680+%2F+18+=+260+ ( in cents )
The cost/L of the mixture should be $2.60