Question

two partners neah and liyah own a restaurant they sell a one-third to amina. if the part of the restaurant that neah and liyah still own is worth $15000, how much was the original value

Answer 1

You know the following information:

- Neah and Liyah sell this fraction of the restaurant to Amina:

`(1)/(3)`

- The part of the restaurant Neah and Liyah still own is worth $15,000.

Then, let be "x" the original value of the restaurant Neah and Liyah own (in dollars).

Knowing that information, you know that the fraction of the restaurant Neah and Liyah still own is:

`(3)/(3)-(1)/(3)=(3-1)/(3)=(2)/(3)`

Now you can set up the following proportion:

`(15,000)/((2)/(3))=(x)/((3)/(3))`

Solving for "x", you get:

`\begin{gathered} (15,000)/((2)/(3))=(x)/(1) \\ \\ x=22,500 \end{gathered}`

Therefore, the answer is: $22,500