Linda owns 4 shares of a certain stock. Yesterday the total value of her shares went down by 32 dollars. What was the change in value for each share?

Respuesta :

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.

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