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.
\( \frac{2}{3} t = 8 \)
Let's break down the problem step by step.
Step 1: Let's assume that the total number of students in Ms. Garcia's class is "t".
Step 2: The problem states that two-thirds of the class owns a pet. This means that 2/3 of the total number of students own a pet.
Step 3: We can set up an equation to represent this information. The equation is: (2/3)t = 8
Step 4: To solve for "t," we need to isolate the variable on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us: (3/2)(2/3)t = (3/2)(8)
Step 5: Simplifying both sides of the equation, we get: (1)t = 12
Step 6: Finally, t = 12. This means that there are 12 students in Ms. Garcia's class.
Therefore, the equation that models the total number of students, t, in Ms. Garcia's class is: (2/3)t = 8
To solve this problem, we need to set up an equation using the information given. We know that two-thirds of the students in the class own a pet, and that this is equal to 8 students.
Let's represent the total number of students in the class as "t".
According to the information given, we can write the equation as:
(2/3) * t = 8
To complete the equation, we multiply the fraction (2/3) by the total number of students (t) and set it equal to the given number of students who own a pet (8).