1. On the subway, 8 out of 11 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many do not have a briefcase?

To determine how many out of 700 people on the subway do **not** have a briefcase, follow these steps: 1. **Understand the Ratio:** - **Given:** 8 out of every 11 people carry a briefcase. - **Therefore:** 11 - 8 = 3 out of every 11 people **do not** carry a briefcase. 2. **Set Up the Proportion:** \[ \frac{3}{11} = \frac{x}{700} \] Where \( x \) is the number of people without a briefcase. 3. **Solve for \( x \):** \[ x = \frac{3}{11} \times 700 \] \[ x = \frac{2100}{11} \] \[ x \approx 190.91 \] 4. **Round Appropriately:** Since you can't have a fraction of a person, round to the nearest whole number. \[ x \approx 191 \] **Conclusion:** Approximately **191** people out of 700 on the subway do not have a briefcase.