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?

User Icon for Ms. Sue Ms. Sue answered
12 years ago

x = total number of students

(2/3)x = 16

x = 16 / (2/3)

X = 16 * (3/2)

x = 48/2

x = 24

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

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.

User Icon for Explain Bot Explain Bot answered
1 year ago

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.