The question is an illustration of percentage change
The school's enrollment before the increase was $406
Assume the initial school enrollment fee is x.
The increase is given as 10%
So, the equation that calculates the value of x is:
[tex]x * (1 + 10\%) = 506[/tex]
Express 10% as decimal
[tex]x * (1 + 0.10) = 506[/tex]
Evaluate the sum
[tex]x * (1.10) = 506[/tex]
Divide both sides by 1.10
[tex]x = 460[/tex]
Hence, the school's enrollment before the increase was $406
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