A store mixes Brazilian coffee worth $12 per kilogram and Turkish coffee worth $14 per kilogram. The mixture is to sell worth $13 per kiligram. Find out how much each should be used to make a 336-kilogram mixture.

How much mixure should be in Turkish coffee?
How much mixture should be in Brazilian coffee?

Question

A store mixes Brazilian coffee worth $12 per kilogram and Turkish coffee worth $14 per kilogram. The mixture is to sell worth $13 per kiligram. Find out how much each should be used to make a 336-kilogram mixture. 

How much mixure should be in Turkish coffee?
How much mixture should be in Brazilian coffee?

anonymous · Answer

you want x kg of Brazilian and y kg of Turkish. Total must be 336 so: x + y = 336
Now the price: cost of brazilian : 12 * x
cost of turkish: 14 * y
Average cost: (12x + 14y)/(x+y) = 13
Now solve for x and y