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)
(2/3)t = 8
Let's assume that the total number of students in Ms. Garcia's class is "t".
According to the information given, two-thirds of the class own a pet. This can be represented by the fraction 2/3.
We are also given that 8 students own a pet, which is equivalent to 2/3 of the total number of students.
Therefore, we can set up the following equation to represent the problem:
2/3 * t = 8
This equation models the total number of students, "t", in Ms. Garcia's class.
To solve this problem, we can set up a proportion to represent the relationship between the number of students who own a pet and the total number of students in the class.
We know that two-thirds of the class, or 8 students, own a pet. We can represent this information as a fraction:
2/3 = 8/t
Here, t represents the total number of students in Ms. Garcia's class.
To solve for t, we can use cross-multiplication. This means multiplying the numerator of the first fraction (2) by the denominator of the second fraction (t), and multiplying the denominator of the first fraction (3) by the numerator of the second fraction (8):
2 * t = 8 * 3
This simplifies to:
2t = 24
Finally, to solve for t, we divide both sides of the equation by 2:
t = 24 / 2
Therefore, the equation that models the total number of students, t, in Ms. Garcia's class is:
t = 12