Rob owns 3/5 of the stock in a local bread company. His sister Tailia owns half as much stock as Rob. What part of the stock is owned by neither Rob or Tailia?

Question

asked Jun 20, 2023 32.5k views

1 Answer

HaydnD · Answer 1 · 2023-06-23T11:43:54+0000

Let 'x' and 'y' denote the part of stock owned by Rob and Tailia, respectively.

Give that Rob owns 3/5 of the stock,

Also it is given that Tailia owns half as much stock as Rob,

$\begin{gathered} y=(x)/(2) \\ y=(3)/(2*5) \\ y=(3)/(10) \end{gathered}$

So, Tailia owns 3/10 of the stock.

Now, it is known that the total stock must be unity,

$\text{Total Stock}=1$

Total stock must be the sum of stock holdings of Rob, Tailia, and other.

Then, the remaining part of stock which is neither owned by Rob, nor by Tailia, is calculated as,

$\begin{gathered} =\text{Total}-(x+y) \\ =1-((3)/(5)+(3)/(10)) \\ =1-(9)/(10) \\ =(1)/(10) \end{gathered}$

Thus, 1/10 of the stock is neither