Answer:
![x=(9)/(8)\ yards](https://img.qammunity.org/2020/formulas/mathematics/college/a97kakvekerx016dpnxen1m5g79hf6cywk.png)
![x=1.125\ yards](https://img.qammunity.org/2020/formulas/mathematics/college/vvdgp146fhkul9i5upelutaryhez45ay7u.png)
Explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:
![x+x+x+x+x+x+x+x=8x](https://img.qammunity.org/2020/formulas/mathematics/college/5txd3ff1o57qdam1uzt1ui72i0vy0m24jj.png)
Then:
![8x=9\ yards](https://img.qammunity.org/2020/formulas/mathematics/college/wzn0wgi1np8wwleexs7pdjx03j0b64vugv.png)
Now we solve the equation for x
![8x=9\ yards](https://img.qammunity.org/2020/formulas/mathematics/college/wzn0wgi1np8wwleexs7pdjx03j0b64vugv.png)
Divide both sides of equality by 8
![(8)/(8)x=(9)/(8)\ yards](https://img.qammunity.org/2020/formulas/mathematics/college/69x32ur339lyfb1sla9g40tbft56p8drmj.png)
![x=(9)/(8)\ yards](https://img.qammunity.org/2020/formulas/mathematics/college/a97kakvekerx016dpnxen1m5g79hf6cywk.png)
So the length of each piece is
of a yard.
This is: 1.125 yards