Answer:
x = 6.67
Step-by-step explanation:
If we call
x = amount of shelf space Michelle gets
then we know that
the amount of shelf space Sarah wants = 2x
Now the the total shelf space is 20 ft; therefore, we must have
![x+2x=20](https://img.qammunity.org/2023/formulas/mathematics/college/4czcs6hwgxx1zm9c33wk3ivebtqwzsh5rx.png)
which simplifies to give
![3x=20](https://img.qammunity.org/2023/formulas/mathematics/college/vsn8cgimyljwgbdcxlwwfhrpfnzu1vkagq.png)
![\Rightarrow x=(20)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/vocirtaudc51q4yjhtpmk6ovrtks4htanw.png)
![x=6.67](https://img.qammunity.org/2023/formulas/mathematics/college/gd2czu7wkx542dd570d3tk7j85krh9astb.png)
Hence, the amount of space Michelle will be stuck with is 6.67 ft.