At an encore party location the table seats 12 guest the party hosts invited 163 people and 9 people responded That they would not attend what is the fewest number of tables needed to see all of the guests attending the party

1 answer

To determine the fewest number of tables needed for the party, we can follow these steps:

  1. Determine the actual number of attendees:

    • Total invited = 163 people
    • Not attending = 9 people
    • Therefore, the number of people attending = 163 - 9 = 154 people.
  2. Calculate the number of tables required:

    • Each table seats 12 guests.
    • To find the number of tables needed, we divide the number of attendees by the number of seats per table and round up, since you cannot have a fraction of a table:

    \[ \text{Number of tables} = \frac{\text{Number of attendees}}{\text{Seats per table}} = \frac{154}{12} \approx 12.8333 \]

    Since we cannot have a part of a table, we round up to the next whole number. Therefore, the number of tables needed is 13.

So, the fewest number of tables needed to seat all of the attending guests is 13.