A certain school’s enrollment increased 5% this year over
last year’s enrollment. If the school now has 1,260
students enrolled, how many students were enrolled last
year?
1.05x = 1260
5%+=0.05
x=0.05=1.05
1260/1.05=1200
5%=.05
X+.05=1.05
1,260/1.05=1,200
To find out how many students were enrolled last year, we need to first calculate the increase in enrollment this year compared to last year.
Let's say the number of students enrolled last year is x.
The increase in enrollment this year can be calculated using the equation:
Increase = x * (5/100)
We are given that this year's enrollment, including the increase, is 1,260 students. So we can write the equation:
x + Increase = 1,260
Substituting the value of the increase, we have:
x + (x * (5/100)) = 1,260
Simplifying the equation:
x + 0.05x = 1,260
1.05x = 1,260
Now, divide both sides of the equation by 1.05 to solve for x:
x = 1,260 / 1.05
Calculating:
x ≈ 1200
Therefore, last year's enrollment was approximately 1200 students.