# I am looking for help setting up and solving algebraic word problems

By FishonJR

@FishonJR (1)

United States

August 25, 2006 8:23pm CST

You own 14 shares of stock in a sporting goods company. The total value of each share changes by -$2.94. By how much does the value of each share of stock change?
The answer I got was -$.21 by dividing but I have no idea about how to actually set up the problem or really, if my answer is correct.
Please help! Thanks :-(

3 responses

@AKRao24 (15463)

• India

10 Dec 06

Let the cost of your each share be x
You own 14 shares , so the cost of 14 shares = 14x
Now the cost has got shifted by -$2.94
let the change in the each share be y
Then our equation will be
14x - 14 (x-y) = 2.94
14x -14x+ 14y = 2.94
14y = 2.94
y= 2.94/14
y= 0.21
Since we have taken y as the change in the share it will be negative here as the whole shift was negative therefore the value of each share shifted by -$0.21 !

@bam001 (941)

• United States

10 Dec 06

I am a little confused by the wording.
Your original post says: "The total value of each share changes by -$2.94." This would indicate to me that each share of the stock is changing by $2.94...and I just wondered if the problem was set up to see if you were reading carefully.
On the other hand, if the total value of the stock changes by -$2.94, then the value of each share changes by (-$2.94/14) = -$0.21