JAMB 2018 Mathematics · Question 41
Express 495g as a percentage of 16.5kg
Options
- A.3%
- B.3 %
- C.15%
- D.30%
Answer: A. 3%
Explanation written with AI and checked against the answer key
1. Analyze the question
You are asked to find what percentage 495 grams (g) is of 16.5 kilograms (kg). To solve this, both quantities must be in the same unit before calculating the percentage.
2. Explain the concept
To express one quantity as a percentage of another, use the formula:
Important: Always ensure the units are consistent. Since , we must convert the 16.5 kg into grams first.
3. Show the solution
Step 1: Convert units Convert 16.5 kg to grams:
Step 2: Set up the fraction Now, express 495 g as a fraction of 16,500 g:
Step 3: Calculate the percentage Multiply the fraction by 100%:
Simplify by canceling the zeros:
Divide 495 by 165:
4. Identify the answer
The calculated value is 3%. Comparing this to the given options, it matches option A.
5. Tip
In JAMB exams, always check your units first! A common trap is forgetting to convert kg to g. If you see mixed units (like kg and g, or m and cm), convert the larger unit to the smaller one immediately to avoid decimal errors.
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