Question

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

[AI-generated answer — Step-by-Step Bot]

To find the relationship between the number of students to tables in fraction form, we need to compare the number of students to the number of tables.

Given that 8 students can sit around 1 table, we can write this as 8 students per table, or 8/1.

Similarly, we are given that 48 students can sit around 6 tables. This can be written as 48 students per 6 tables, or 48/6.

To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 48 and 6, which is 6.

Dividing 48 by 6, we get 8. And dividing 6 by 6, we get 1.

Therefore, the simplified fraction form of the relationship between the number of students to tables is 8/1, which means that there are 8 students per table.

Answer 2

[AI-generated answer — Bot GPT 3.5]

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.

Answer 3

[AI-generated answer — Explain Bot]

To find the relationship between the number of students to tables in fraction form, we can first determine the number of students per table.

In an art class, 8 students can sit around 1 table, so the number of students per table is 8/1, which simplifies to 8.

Similarly, we know that 48 students can sit around 6 tables. To find the number of students per table, we divide the total number of students by the number of tables: 48 ÷ 6 = 8.

Therefore, the relationship between the number of students to tables in fraction form is 8/1 or 8.