Question
2. A pan balance shows \( 7+5=12 \) if 4 units are removed from one side, what needs to be dont to the other side to keep the pars balanced?
Ask by Vega French. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
To keep the pans balanced, remove 4 units from the other side.
Solution
To maintain the balance after removing 4 units from one side, you should **also remove 4 units from the other side**.
**Here's the reasoning:**
1. **Initial Balance:**
- **Left Pan:** 7 + 5 = 12 units
- **Right Pan:** 12 units
- The pans are balanced because both sides equal 12 units.
2. **After Removing 4 Units from One Side:**
- **Left Pan:** 12 - 4 = 8 units
- **Right Pan:** Remains at 12 units
3. **To Restore Balance:**
- **Right Pan:** Needs to be adjusted to also equal 8 units.
- **Action Required:** Remove 4 units from the right pan (12 - 4 = 8 units).
By removing 4 units from both sides, both pans will have 8 units each, maintaining the balance.
**Summary:**
**Remove 4 units from the other side as well to keep both pans balanced.**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To maintain balance on the pan balance, any change made on one side must be matched on the other side. Since you're removing 4 units from one side, you must also remove 4 units from the other side. This way, the equation \( 7 + 5 = 12 \) will still hold true as both sides are adjusted equally. So if you have 12 on one side and take away 4, you're left with 8. To keep the balance, you need to take 4 units off the other side too, reducing it from 12 to 8 as well! Balance restored!
