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A farmer picked oranges and put them all into 9 boxes. Each box had the same number of oranges. Which of the following could be the number of oranges the farmer picked? \( \begin{array}{l}\text { A. } 299\end{array} \)

Ask by Higgins Best. in the United States
Feb 04,2025

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Answer

299 oranges cannot be evenly divided into 9 boxes.

Solution

To determine whether the farmer could have picked **299 oranges** and evenly distributed them into **9 boxes**, we need to check if **299** is divisible by **9**. ### Divisibility Rule for 9: A number is divisible by **9** if the **sum of its digits** is also divisible by **9**. Let's apply this rule to **299**: 1. **Sum of digits**: \[ 2 + 9 + 9 = 20 \] 2. **Check divisibility**: - **20** is **not** divisible by **9**. Since the sum of the digits (**20**) is not divisible by **9**, **299** cannot be evenly divided into **9 boxes**. ### Conclusion: **299** is **not** a possible number of oranges the farmer could have picked if each of the **9 boxes** must contain an equal number of oranges. **Answer:** 299 is not divisible by 9, so the farmer could not have picked 299 oranges.

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To determine if the farmer could have picked 299 oranges, we need to check if 299 is divisible by 9, since all the oranges were evenly distributed into 9 boxes. When we divide 299 by 9, we get approximately 33.222, which means there’s a remainder. Thus, 299 is *not* divisible by 9 and cannot be the total number of oranges the farmer picked. On the quest for possible orange counts, remember that any multiple of 9 fits perfectly into those boxes! For example, numbers like 9, 18, 27, or even larger ones like 252 or 360 would work just fine. Happy counting and box-stacking!

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