Question: A mixture of two grades of rice costs $30 and $40 per kg. If a mixture of 10 kg is made with equal quantities, what is the cost per kg of the mixture?
Options:
$32
$35
$37
$38
Correct Answer: $35
Solution:
Cost = (30 + 40) / 2 = $35 per kg.
A mixture of two grades of rice costs $30 and $40 per kg. If a mixture of 10 kg
Practice Questions
Q1
A mixture of two grades of rice costs $30 and $40 per kg. If a mixture of 10 kg is made with equal quantities, what is the cost per kg of the mixture?
$32
$35
$37
$38
Questions & Step-by-Step Solutions
A mixture of two grades of rice costs $30 and $40 per kg. If a mixture of 10 kg is made with equal quantities, what is the cost per kg of the mixture?
Step 1: Identify the cost of the first grade of rice, which is $30 per kg.
Step 2: Identify the cost of the second grade of rice, which is $40 per kg.
Step 3: Since we are mixing equal quantities of both grades, we will take the average of the two costs.
Step 4: Add the cost of the first grade ($30) to the cost of the second grade ($40).
Step 5: Calculate the total cost: 30 + 40 = 70.
Step 6: Since we are mixing equal quantities, divide the total cost by 2 to find the average cost per kg: 70 / 2 = 35.
Step 7: The cost per kg of the mixture is $35.
Weighted Average – The cost of a mixture is determined by the weighted average of the costs of the individual components, taking into account their proportions.
Mixture Problems – Understanding how to combine different quantities and costs to find a total or average cost.
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