A poultry farmer realized 200 eggs from his birds and sold 5 $\frac{1}{2}$ crates of eggs. What percentages of eggs are left?

1. Analyze the question

• Total eggs: 200
• Eggs sold: 5 $\frac{1}{2}$ crates.
• Standard crate size: In the Nigerian poultry industry, a standard crate holds 30 eggs.
• Goal: Find the percentage of eggs remaining.

2. Explain the concept

To solve this, we need to:

1. Calculate the total number of eggs sold by multiplying the number of crates by the number of eggs per crate (30).
2. Subtract the sold eggs from the total (200) to find the number of eggs left.
3. Calculate the percentage left using the formula: $$\text{Percentage left} = \left( \frac{\text{Number left}}{\text{Total number}} \right) \times 100$$

3. Show the solution

Step 1: Calculate eggs sold

• Crates sold = $5 \frac{1}{2} = 5.5$
• Eggs per crate = 30
• Total eggs sold = $5.5 \times 30 = 165$ eggs.

Step 2: Calculate eggs left

• Total eggs = 200
• Eggs left = $200 - 165 = 35$ eggs.

Step 3: Calculate the percentage left

• Percentage left = $\left( \frac{35}{200} \right) \times 100$
• Percentage left = $\frac{35}{2} = 17.5\%$

4. Identify the answer

Comparing our result to the options provided: A. 82.5% B. 15% C. 17.5% D. 85%

The correct option is C.

5. Tip

In JAMB questions involving "crates of eggs," always remember that the standard unit is 30 eggs per crate. If the question doesn't explicitly state the crate size, assume 30, as this is the standard practice in Nigerian poultry farming and mathematics examinations.