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 = [tex]x[/tex]
Value of 4 shares in dollars will be = [tex]4x[/tex]
The total value of shares went down by $32
So, new value of 4 shares = [tex]4x-32[/tex]
New value of each share = [tex]\frac{New\ value\ of\ total\ shares}{4}[/tex]
⇒ [tex]\frac{4x-32}{4}[/tex]
Splitting the denominators.
⇒ [tex]\frac{4x{{4}-\frac{32}}{4}[/tex]
⇒ [tex]x-8[/tex]
Original value of each share in dollars was = [tex]x[/tex]
New value of each share in dollars = [tex]x-8[/tex]
Thus, we can see that the value of each share decreased by $8.