Question: A mixture of two grades of rice costs $20 per kg and $30 per kg. If a mixture is made with equal quantities of both, what is the cost per kg of the mixture?
Options:
$22
$25
$27
$30
Correct Answer: $22
Solution:
Cost = (20 + 30) / 2 = $25 per kg.
A mixture of two grades of rice costs $20 per kg and $30 per kg. If a mixture is
Practice Questions
Q1
A mixture of two grades of rice costs $20 per kg and $30 per kg. If a mixture is made with equal quantities of both, what is the cost per kg of the mixture?
$22
$25
$27
$30
Questions & Step-by-Step Solutions
A mixture of two grades of rice costs $20 per kg and $30 per kg. If a mixture is made with equal quantities of both, what is the cost per kg of the mixture?
Step 1: Identify the cost of the first grade of rice, which is $20 per kg.
Step 2: Identify the cost of the second grade of rice, which is $30 per kg.
Step 3: Since we are mixing equal quantities of both grades, we will add their costs together.
Step 4: Add the costs: 20 + 30 = 50.
Step 5: Since we mixed equal quantities, we divide the total cost by 2 to find the cost per kg of the mixture.
Step 6: Divide the total cost by 2: 50 / 2 = 25.
Step 7: The cost per kg of the mixture is $25.
Weighted Average – The question tests the understanding of how to calculate the average cost of a mixture when equal quantities of different items are combined.
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