Question

A coffee distributor needs to mix a(n) Costa Rican coffee blend that normally sells for $9.50 per pound with a Kenya coffee blend that normally sells for $13.80 per pound to create 70 pounds of a coffee that can sell for $13.49 per pound. How many pounds of each kind of coffee should they mix?

Answer 1

5,11 pounds of Costa Rican coffee and 64,89 pounds of Kenya coffee

Step-by-step explanation:

First, we need to know the proportion of every coffee in the mix trying with different percentages until getting the result of $13,49

($9,50*25%)+($13,80*75%)=$12,73

($9,50*10%)+($13,80*90%)=$13,37

($9,50*7,5%)+($13,80*92,5%)=$13,48

($9,50*7,3%)+($13,80*92,7%)=$13,49

So, the percentage of Costa Rican coffee is 7,3% and Kenya coffee is 92,7%

And we can get the pounds required to get 70 pounds

70*7,3%=5,11

70*92,7%=64,89

We need 5,11 pounds of Costa Rican coffee and 64,89 pounds of Kenyan coffee to create 70 pounds of mixed coffee that can sell for $13,49 per pound