If 8kg of coffee costing

$12 per kg is mixed with 5kg of coffee costing $8 per kg, what is the cost per kg of the mixture?

To solve the problem, we need to find the weighted average of the two types of coffee:

(weight of first type of coffee * cost per kg of first type of coffee) + (weight of second type of coffee * cost per kg of second type of coffee)
/ total weight of mixture

Using the formula:

(8 kg * $12/kg) + (5 kg * $8/kg) / (8 kg + 5 kg)
= $96 + $40 / 13 kg
= $136 / 13 kg

Therefore, the cost per kg of the mixture is approximately $10.46/kg (rounded to two decimal places).