Proportional Relationships Practice Complete this assessment to review what you've learned. It will not count toward your grade.
In an art classroom, & 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? Write the proportion in
fraction form without reducing it to the lowest terms. (1 point
The relationship between the number of students to tables in fraction form is 6/48.
To determine the relationship between the number of students and tables in fraction form, we can set up a proportion using the given information.
Let's represent the number of students as "s" and the number of tables as "t".
We are given that 8 students can sit around 1 table, which can be written as:
8s/1t
We are also given that 48 students can sit around 6 tables, which can be written as:
48s/6t
To set up the proportion, we equate the two fractions:
8s/1t = 48s/6t
Now, we can cross-multiply to solve for the relationship:
(8s)(6t) = (48s)(1t)
48st = 48st
The relationship between the number of students to tables, in fraction form without reducing it to the lowest terms, is:
48s/6t
To determine the relationship between the number of students to tables in fraction form, we need to set up a proportion using the given information.
Let's assume the number of students is represented by 'x' and the number of tables is represented by 'y'.
From the given information, we have two situations:
Scenario 1: & students can sit around 1 table
Scenario 2: 48 students can sit around 6 tables
We can set up the proportion as follows:
& students / 1 table = 48 students / 6 tables
Now, let's cross-multiply to find the equivalent fractions:
6 * & students = 48 students * 1 table
simplifying further:
6& = 48
To isolate the variable, divide both sides by 6:
& = 48 / 6
& = 8
Therefore, the number of students, x, is 8.
Now we can express the relationship between the number of students and tables in fraction form:
x / y = 8 / 1
Therefore, the relationship between the number of students to tables in fraction form is 8/1.