If 5 kg of sugar costing $10 per kg is mixed with 3 kg of sugar costing $15 per

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Question: If 5 kg of sugar costing $10 per kg is mixed with 3 kg of sugar costing $15 per kg, what is the average cost per kg of the mixture?

Options:

Correct Answer: $13.75

Solution:

Total cost = (5*10 + 3*15) = 50 + 45 = $95. Average cost = 95 / (5 + 3) = 95 / 8 = $11.875.

If 5 kg of sugar costing $10 per kg is mixed with 3 kg of sugar costing $15 per kg, what is the average cost per kg of the mixture?

If 5 kg of sugar costing $10 per kg is mixed with 3 kg of sugar costing $15 per kg, what is the average cost per kg of the mixture?

Step 1: Calculate the total cost of the first type of sugar. Multiply the weight (5 kg) by the cost per kg ($10). This gives you 5 * 10 = $50.
Step 2: Calculate the total cost of the second type of sugar. Multiply the weight (3 kg) by the cost per kg ($15). This gives you 3 * 15 = $45.
Step 3: Add the total costs from Step 1 and Step 2 together. This gives you $50 + $45 = $95.
Step 4: Calculate the total weight of the mixture. Add the weights of both types of sugar together: 5 kg + 3 kg = 8 kg.
Step 5: Calculate the average cost per kg of the mixture. Divide the total cost ($95) by the total weight (8 kg). This gives you 95 / 8 = $11.875.

Weighted Average Cost – The question tests the ability to calculate the average cost of a mixture based on the quantities and costs of individual components.
Basic Arithmetic Operations – The question requires performing multiplication and addition to find total costs, followed by division to find the average.