A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

1. Analyze the question

We are given a total number of pencils shared among three people (Bisi, Sola, and Tunde) in a specific ratio (2:3:5). We know the exact amount Bisi received, and we need to find the total number of pencils shared.

2. Explain the concept

In ratio problems, the ratio represents parts of a whole.

• Bisi's share = 2 parts
• Sola's share = 3 parts
• Tunde's share = 5 parts
• Total parts = 2 + 3 + 5 = 10 parts

If we know the value of one "part," we can find the total by multiplying that value by the total number of parts.

3. Show the solution

Step 1: Find the value of one part. We are told Bisi received 5 pencils, and her ratio share is 2. Let $x$ be the value of one part. $2x = 5$ $x = \frac{5}{2} = 2.5$

Step 2: Calculate the total number of pencils. The total ratio is $2 + 3 + 5 = 10$ parts. Total pencils = (Total parts) × (Value of one part) Total pencils = $10 \times 2.5$ Total pencils = $25$

4. Identify the answer

The total number of pencils shared is 25. This corresponds to option B.

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5. Exam Tip

When dealing with ratios, always sum the ratio parts first to get the "total parts." If you are given the value of one person's share, divide their actual amount by their ratio share to find the "unit value." Once you have the unit value, you can find any individual's share or the grand total easily!