Question
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Directions: Identify the compared quantities. Find the ratio. Identify whether the ratio is part-to-part or part-to-whole. 5. Compare the number of bananas to the total number of fruits in the group. Identify the three ways to write the ratio: Is the ratio part-to-part or part-to-whole?

Ask by Thornton Lowe. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

The ratio of bananas to the total number of fruits is \( \frac{b}{t} \) or \( b:t \) or "the number of bananas to the total number of fruits." This is a part-to-whole ratio.

Solution

To solve the problem, let's break it down step by step. 1. **Identify the compared quantities:** - The number of bananas (let's denote this as \( b \)). - The total number of fruits in the group (let's denote this as \( t \)). 2. **Find the ratio:** The ratio of the number of bananas to the total number of fruits can be expressed as: \[ \text{Ratio} = \frac{b}{t} \] 3. **Identify the three ways to write the ratio:** The ratio can be expressed in three different forms: - As a fraction: \( \frac{b}{t} \) - Using a colon: \( b:t \) - In words: "the number of bananas to the total number of fruits" 4. **Identify whether the ratio is part-to-part or part-to-whole:** - This ratio is a **part-to-whole** ratio because it compares a part of the total (the number of bananas) to the whole (the total number of fruits). In summary: - Compared quantities: Number of bananas (\( b \)) and total number of fruits (\( t \)). - Ratio: \( \frac{b}{t} \), \( b:t \), "the number of bananas to the total number of fruits". - Type of ratio: Part-to-whole.

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The Deep Dive

In this scenario, the compared quantities are the number of bananas and the total number of fruits in the group. If we imagine there are, say, 3 bananas in a total of 10 fruits, the ratio of bananas to total fruits would be 3 to 10. The three ways to write this ratio are: 3:10, 3/10, and "3 bananas for every 10 fruits." Since we are comparing a part (bananas) to a whole (the total number of fruits), this ratio is classified as part-to-whole.

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