In one region the number of students in Math 101 is 20% more than the number of students in Math 123. If there are 480 students in Math 101, how many students are in Math 123?
Math101=1.2*Math123
Math123=math101 / 1.2
To find the number of students in Math 123, we need to determine the original number of students before the 20% increase in Math 101.
Let's assume the number of students in Math 123 is X.
According to the given information, the number of students in Math 101 is 20% more than the number in Math 123. Mathematically, this can be expressed as:
Number of students in Math 101 = Number of students in Math 123 + 20% of Number of students in Math 123
Since 20% can be written as 0.20, we can rewrite the equation as:
480 = X + 0.20X
To solve for X, we can combine the terms on the right side:
480 = 1.20X
Next, divide both sides of the equation by 1.20 to isolate X:
X = 480 / 1.20
Evaluating this expression, we find:
X = 400
Therefore, there are 400 students in Math 123.