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.
(2/3)t = 8
Let's first represent the total number of students in Ms. Garcia's class as "t."
Given that two-thirds of the class own a pet, we can represent this as 2/3 of t.
Therefore, the equation that models the total number of students in Ms. Garcia's class is:
2/3 * t = 8
To complete the equation that models the total number of students in Ms. Garcia's class (t), we can use the information that two-thirds of the class, or 8 students, own a pet.
First, let's represent the total number of students in the class with the variable t.
According to the information given, two-thirds of the class owns a pet. This means that out of the total number of students, two-thirds (2/3) have pets. We can represent this as a fraction:
(2/3)t
Since we know that this amount is equal to 8 students, we can set up an equation:
(2/3)t = 8
Now, to solve for t, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3)t * (3/2) = 8 * (3/2)
Simplifying the equation, we have:
t = (8 * 3) / (2 * 1)
t = 24 / 2
t = 12
So, the completed equation that models the total number of students, t, in Ms. Garcia's class is:
(2/3)t = 8