SOLUTION: A college increased it's student population by 6.72% over last fall. They now have 270 students. what is the original number of students? Use the formula changePC= [original-

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Question 104241This question is from textbook Algebra 2
: A college increased it's student population by 6.72% over last fall. They
now have 270 students. what is the original number of
students? Use the formula changePC= [original-new]/original X 100

6.72 = {x-270}/x X 100(please note I'm using brackets to denote absolute value



Multiply each side by 100
0.0672= 100x-2700/x

Multiply each side by x,

.0672x = 100x squared -2700x
Help! TX





This question is from textbook Algebra 2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

6.72+=+%28abs%28x-270%29%2Fx%29%2A100
.0672+=+%28abs%28x-270%29%2Fx%29 Divide both sides by 100. You said multiply and you divided on the left and multiplied on the right.
.0672x+=+x%2A%28abs%28x-270%29%2Fx%29 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%28x-270%29
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%28x-270%29=-%28x-270%29 and
.0672x+=+-%28x-270%29
.0672x+=+-x%2B270%29
1.0672x+=+270%29
x+=+270%2F1.0672
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