Question

The tables in your classroom have square tops. Four students can comfortably sit at each table with ample working

space. Putting tables together in clusters as shown will allow students to work in larger groups.
There are 24 students in a math course at your school. How many tables must be put together to seat a group of six
students? How many six person clusters would be needed for the entire class of 24?
a 5 tables, 3 clusters
b. 3 tables, 4 clusters
C. 2 tables, 4 clusters
d. 4 tables, 2 clusters

Answer 1

To seat a group of six students, we need 3 tables, and to accommodate the entire class of 24 students, we would need 4 clusters of 3 tables each.

Step-by-step explanation:

Looking at the scenario of students and tables in a classroom, we need to figure out how many tables must be put together to seat a group of six students, and how many such clusters would be needed for the entire class of 24 students.

To seat six students at tables with square tops where four can sit comfortably, we would need one and a half tables per group of six. However, since we can't have half a table, we should look for the smallest number of tables that can be combined to accommodate multiple groups of six. By putting together two tables, we could seat 8 students, which is not enough. With three tables, we can seat 12 students. Hence, to seat a group of six students, we would combine two sets of three tables, and we would create two groups of six from this cluster of tables.

For the entire class of 24 students, we would need four such clusters because 24 divided by 6 equals 4. Thus, the correct answer is that to seat groups of six, we need 3 tables, and for the entire class, we would require 4 clusters.