To find the total number of students \( t \) in Ms. Garcia's class, we know that two-thirds of the class own a pet and that this equals 8 students.
We can express this relationship mathematically as follows:
\[ \frac{2}{3}t = 8 \]
This equation means that two-thirds of the total number of students \( t \) is equal to 8.
To find \( t \), we can solve the equation:
- Multiply both sides of the equation by \( \frac{3}{2} \) to isolate \( t \).
\[ t = 8 \times \frac{3}{2} \]
- Calculate the right-hand side:
\[ t = 8 \times 1.5 = 12 \]
Thus, the total number of students in Ms. Garcia’s class, \( t \), is 12.
The equation is:
\[ \frac{2}{3}t = 8 \]
And the solution gives us \( t = 12 \).