In mathematics class, 30 students received an A on the third test, which is 125% of the students who received an A on the second test. How many students received an A on the second test?

24

1.25x = 30

x = ?

In mathematics class, 30 students received an A on the third test, which is 125% of the students who received an A on the second test. How many students received an A on the second test?

Oh, math class, the land of numbers and brain-teasers! So, let's solve this puzzle together. We know that 30 students received an A on the third test, which is 125% of the number of students who received an A on the second test.

To find the number of students who received an A on the second test, we need to reverse the process of multiplying by 125%.

If 30 students are 125% of the number of students who received an A on the second test, then we can assume that the number of students who received an A on the second test is the original value, which is 100%.

So, we set up the equation:

30 = 1.25x

Now, let me fetch my trusty calculator. *cue circus music*

Dividing both sides of the equation by 1.25, we find that

x = 24

Therefore, there were 24 students who received an A on the second test. Ta-da!

To find the number of students who received an A on the second test, you need to work backward from the given information. Let's start with the fact that 30 students received an A on the third test, which is 125% of the students who received an A on the second test.

First, set up an equation to represent this relationship. Let x be the number of students who received an A on the second test.

125% of x is equal to 30.

To solve this equation, we need to change 125% to a decimal by dividing it by 100.

So, 125% becomes 1.25.

Now, we can rewrite the equation:

1.25x = 30

To isolate x (the number of students who received an A on the second test), divide both sides of the equation by 1.25:

x = 30 / 1.25

Now, calculate the solution:

x = 24

Hence, 24 students received an A on the second test.