Ms. Garcia surveyed the students in her class to find out if they own a pet. Two-thirds of the class, or 8 students, own a pet. Complete the equation that models the total number of students, t, in Ms. Garcia's class. (1 point)
To complete the equation that models the total number of students in Ms. Garcia's class, we know that two-thirds of the class, or 8 students, own a pet.
Let's use the variable "t" to represent the total number of students in the class.
We know that two-thirds of the class own a pet, which means that this proportion of the class represents the number of students who own a pet. In other words, this is equal to 8 students.
So, we can set up the equation:
(2/3) * t = 8
This equation states that the number of students who own a pet, represented by two-thirds of the total number of students in the class, is equal to 8.
<t/3=8
Let's denote the total number of students in Ms. Garcia's class as t.
According to the information given, two-thirds of the class owns a pet, which is equivalent to 8 students.
To model this information into an equation, we can use the concept of proportions.
First, we can set up the proportion:
Number of students owning a pet / Total number of students = Fraction of students owning a pet
In this case, the number of students owning a pet is 8, and the total number of students is t:
8 / t = 2/3
Now, we can solve this equation to find the value of t:
Cross multiplying:
3 * 8 = 2 * t
24 = 2t
Dividing both sides of the equation by 2:
24/2 = t
12 = t
Therefore, the equation that models the total number of students, t, in Ms. Garcia's class is:
t = 12