Mr. Mole determined that 2/3 of the students in his math class had pased the final exam. If 16 students passed the test, how many students are in Mr. Moles class?

x = total number of students

(2/3)x = 16

x = 16 / (2/3)

X = 16 * (3/2)

x = 48/2

x = 24

To find out the total number of students in Mr. Mole's class, we can use the information that 2/3 of the students passed the test and that 16 students passed the test.

Let's denote the total number of students in Mr. Mole's class as "x".

We know that 2/3 of the students passed the test, which can be represented as:

(2/3) * x = 16

To solve for x, we can multiply both sides of the equation by 3/2 to cancel out the fraction:

x = (16 * 3/2)

Simplifying the right side of the equation:

x = 48/2

x = 24

Therefore, there are 24 students in Mr. Mole's class.

To determine the total number of students in Mr. Mole's math class, we can set up a proportion based on the information given.

We know that 2/3 of the students passed the final exam, which means that 2/3 of the total number of students in the class equals 16.

Let's call the total number of students in the class "x". Therefore, the proportion can be set up as:

(2/3)x = 16

To solve for x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2.

(3/2)(2/3)x = (3/2)(16)

The 2/3 and 3/2 terms cancel each other out, leaving us with:

x = (3/2)(16)

Multiplying 3/2 by 16 gives us:

x = 48/2

x = 24

Therefore, there are 24 students in Mr. Mole's math class.