Question

Hey, I need help.

A school has 486 students, and this is an 8% increase from the number of students last year. How many students were in school last year?
Please also show working out, thanks :)

Answer 1

486 ÷ 108

4.5 x 100

450 were there last year

Answer 2

The answer is 450

Explanation:

Let the original number of students be x

Since the number of students increased by 8% we add 8% to 100% making it 108%

108% of the original number of students gave us 486

So we have

108% of x = 486

108 / 100 × x = 486

Multiply through by 100

108x = 48600

Divide both sides by 108

x = 450

So the number of students in the school last year was 450

Hope this helps you