Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
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.
Solución
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.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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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