Subjects algebra

Bananas Bunches

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1. **Problem Statement:** Deborah sells bananas in bunches of 5. We need to determine the correct relationship between the number of bananas and the number of bunches. 2. **Understanding the problem:** Each bunch contains exactly 5 bananas. Let $b$ represent the number of bunches and $n$ represent the number of bananas. 3. **Formulating the relationship:** Since each bunch has 5 bananas, the total number of bananas $n$ is equal to 5 times the number of bunches $b$. This can be expressed as: $$n = 5b$$ 4. **Analyzing the options:** - Option A: "We cannot determine the relationship from the information given." This is incorrect because the problem clearly states each bunch has 5 bananas. - Option B: "The number of bananas is equal to the number of bunches." This would mean $n = b$, which is incorrect. - Option C: "The number of bananas is equal to five times the number of bunches." This matches our formula $n = 5b$ and is correct. - Option D: "The number of bunches is equal to five times the number of bananas." This would mean $b = 5n$, which is incorrect. 5. **Conclusion:** The correct relationship is option C. **Final answer:** C. The number of bananas is equal to five times the number of bunches.