In an art class 8 students can sit around 1 table and 48 students can sit around 6 tables. What is the relationship between the number of students to tables in fraction form.

Answer 1

The relationship between the number of students and tables can be expressed as a ratio or fraction.

Let's denote the number of students as "s" and the number of tables as "t".
From the given information, we know that 8 students can sit around 1 table and 48 students can sit around 6 tables.

Using this information, we can write the following equation to relate s and t:
8s = 1t (Equation 1) (from "8 students can sit around 1 table")

We can also write the equation based on the second piece of information:
48s = 6t (Equation 2) (from "48 students can sit around 6 tables")

To find the relationship between the number of students and tables, we can divide equation 2 by equation 1 to eliminate the "s" variable:
(48s)/(8s) = (6t)/(1t)

Simplifying the left side gives:
6 = (6t)/(t)

Simplifying the right side gives:
6 = 6

So, the relationship between the number of students to tables is 6/1, which can be simplified to 6:1 or 6.