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

The value of each share decreased by $8.

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 =
`(New\ value\ of\ total\ shares)/(4)`

⇒
`(4x-32)/(4)`

Splitting the denominators.

⇒

⇒
`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.