Answer:
The value of each share decreased by $8.
Step-by-step explanation:
Number of shares of a certain stock Linda owned = 4
Total value of shares went down by = $32
So find the change in value of each share.
Solution:
Let the total value of each share in dollars be = ![x](https://tex.z-dn.net/?f=x)
Value of 4 shares in dollars will be = ![4x](https://tex.z-dn.net/?f=4x)
The total value of shares went down by $32
So, new value of 4 shares = ![4x-32](https://tex.z-dn.net/?f=4x-32)
New value of each share = ![\frac{New\ value\ of\ total\ shares}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BNew%5C%20value%5C%20of%5C%20total%5C%20shares%7D%7B4%7D)
⇒ ![\frac{4x-32}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4x-32%7D%7B4%7D)
Splitting the denominators.
⇒ ![\frac{4x{{4}-\frac{32}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7B%7B4%7D-%5Cfrac%7B32%7D%7D%7B4%7D)
⇒ ![x-8](https://tex.z-dn.net/?f=x-8)
Original value of each share in dollars was = ![x](https://tex.z-dn.net/?f=x)
New value of each share in dollars = ![x-8](https://tex.z-dn.net/?f=x-8)
Thus, we can see that the value of each share decreased by $8.