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.