Subjects arithmetic

Rows And Seats

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Rows And Seats


1. **State the problem:** We have 93 people and each row has 8 seats. We want to find how many rows will be completely full and how many people will be sitting in the not full row. 2. **Formula and explanation:** To find the number of full rows, we divide the total number of people by the number of seats per row and take the integer part (floor) of the result. $$\text{Full rows} = \left\lfloor \frac{\text{Total people}}{\text{Seats per row}} \right\rfloor$$ The number of people in the not full row is the remainder of this division: $$\text{People in not full row} = \text{Total people} \bmod \text{Seats per row}$$ 3. **Calculate full rows:** $$\left\lfloor \frac{93}{8} \right\rfloor = \left\lfloor 11.625 \right\rfloor = 11$$ So, there are 11 full rows. 4. **Calculate people in the not full row:** $$93 \bmod 8 = 93 - (8 \times 11) = 93 - 88 = 5$$ So, 5 people are sitting in the not full row. **Final answer:** - Full rows: 11 - People in the not full row: 5