Question

5kg of ginger costing $24 per kg is diluted with 10kg of garlic costing $18 per kg. What is the cost of the mixture per kg?

A) $20
B) $19
C) $21
D) $22

Answer 1

To find the cost of the mixture per kg, calculate the weighted average of the cost of ginger and garlic. The cost of the mixture per kg is $20.

Step-by-step explanation:

To find the cost of the mixture per kg, we need to calculate the weighted average of the cost of ginger and garlic.

First, we calculate the total cost of the ginger: 5 kg * $24 per kg = $120.

Then, we calculate the total cost of the garlic: 10 kg * $18 per kg = $180.

Next, we add the total costs of the ginger and garlic together: $120 + $180 = $300.

Finally, we divide the total cost by the total weight of the mixture: $300 / (5 kg + 10 kg) = $300 / 15 kg = $20 per kg.

Therefore, the cost of the mixture per kg is $20.