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Rob owns \(\frac{1}{8}\) of the stock in a local bread company. His sister Talia owns half as much stock as Rob. What part of the stock is owned by neither Rob nor Talia?

Please show your work.

Answer :

Answer: The part of the stock owned by neither Rob nor​ Talia is

13/16

Step-by-step explanation:

Let the total stock in the local bread company be represented by x

Rob owns 1/8 of the stock in the local bread company. This means that the amount of stock owned by Rob is 1/8 × x = x/8

His sister Talia owns half as much stock as Rob. This means that the amount of stock owned by Talia would be 1/2 × x/8 = x/16

Total part of the stock owned by Talia and Rob would be

x/8 + x/16 = (2x+x)/16 = 3x/16

The part of the stock owned by neither Rob nor​ Talia will be the total stock minus the part of the stock owned by Rob and Talia.

It becomes

x - 3x/16 = (16x - 3x)/16 = 13x/16

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