Question 104241


{{{6.72 = (abs(x-270)/x)*100}}}

{{{.0672 = (abs(x-270)/x)}}} Divide both sides by 100. You said multiply and you divided on the left and multiplied on the right. 
{{{.0672x = x*(abs(x-270)/x)}}} Multiply both sides by x. You lost your x in the denominator from your original equation that would cancel out when you multiplied by x. 
{{{.0672x = abs(x-270)}}}
From your discussion you know the change was an increase. So you know that x is less than 270, the absolute value of (x-270) is negative, so 
{{{abs(x-270)=-(x-270)}}} and
{{{.0672x = -(x-270)}}}
{{{.0672x = -x+270)}}}
{{{1.0672x = 270)}}}
{{{x = 270/1.0672}}}
{{{x = 253}}}
Check your answer
(270-253)/253=.0672
.0672=.0672
Good answer.
x=289.45
Since it is a student count the number must be an integer. 
x=289 students