Question

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?

Answer 1

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 = $x$

Value of 4 shares in dollars will be = $4x$

The total value of shares went down by $32

So, new value of 4 shares = $4x-32$

New value of each share = $\frac{New\ value\ of\ total\ shares}{4}$

⇒ $\frac{4x-32}{4}$

Splitting the denominators.

⇒ $\frac{4x{{4}-\frac{32}}{4}$

⇒ $x-8$

Original value of each share in dollars was = $x$

New value of each share in dollars = $x-8$

Thus, we can see that the value of each share decreased by $8.