Question
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
Real Tutor Solution
Tutor-Verified Answer
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.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain
Simplify this solution
Extra Insights
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!