Will and Hillary counted 298 sheets of paper in the recyele bin on Monday. They collected another 187 sheets on Tuesday. A teacher removed some sheets frem the bin for seratch paper in math class. Now, there are 449 sheets of paper left in the bin. How many sheets of seratch paper did the teacher remove from the bin? a. Draw a bar model to represent the story situation.

To solve the problem step by step, we will first extract the known conditions and then calculate the number of sheets of scratch paper removed by the teacher. ### Known Conditions: 1. Sheets of paper in the recycle bin on Monday: \(298\) 2. Sheets of paper collected on Tuesday: \(187\) 3. Sheets of paper left in the bin after the teacher removed some: \(449\) ### Step-by-Step Calculation: 1. **Calculate the total number of sheets before the teacher removed any:** \[ \text{Total sheets before removal} = \text{Sheets on Monday} + \text{Sheets collected on Tuesday} \] \[ \text{Total sheets before removal} = 298 + 187 \] 2. **Calculate the total sheets before removal:** \[ \text{Total sheets before removal} = 485 \] 3. **Let \(x\) be the number of sheets removed by the teacher. We can set up the equation:** \[ \text{Total sheets before removal} - x = \text{Sheets left in the bin} \] \[ 485 - x = 449 \] 4. **Solve for \(x\):** \[ x = 485 - 449 \] \[ x = 36 \] ### Conclusion: The teacher removed \(36\) sheets of scratch paper from the bin. ### Bar Model Representation: To represent this situation with a bar model, we can visualize it as follows: - **Total Sheets Before Removal:** A bar representing \(485\) sheets. - **Sheets Removed by Teacher:** A segment of the bar representing \(36\) sheets. - **Sheets Left in the Bin:** A segment of the bar representing \(449\) sheets. The bar model would look like this: ``` |-------------------|------------------| | 36 | 449 | | Sheets Removed | Sheets Left | |-------------------|------------------| | 485 | | Total Sheets | |-------------------| ``` This visual representation helps to understand how the total number of sheets is divided into sheets removed and sheets left in the bin.