JAMB 2018 Mathematics · Question 41

Express 495g as a percentage of 16.5kg

Options

  1. A.3%
  2. B.3 13\frac{1}{3}%
  3. C.15%
  4. 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:

Percentage=(PartWhole)×100%\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%

Important: Always ensure the units are consistent. Since 1 kg=1000 g1\text{ kg} = 1000\text{ g}, we must convert the 16.5 kg into grams first.

3. Show the solution

Step 1: Convert units Convert 16.5 kg to grams:

16.5 kg×1000=16,500 g16.5 \text{ kg} \times 1000 = 16,500 \text{ g}

Step 2: Set up the fraction Now, express 495 g as a fraction of 16,500 g:

49516,500\frac{495}{16,500}

Step 3: Calculate the percentage Multiply the fraction by 100%:

Percentage=(49516,500)×100%\text{Percentage} = \left( \frac{495}{16,500} \right) \times 100\%

Simplify by canceling the zeros:

Percentage=495165%\text{Percentage} = \frac{495}{165} \%

Divide 495 by 165:

495÷165=3495 \div 165 = 3
Percentage=3%\text{Percentage} = 3\%
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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