Answer:
![\[6(2)/(3)\]](https://img.qammunity.org/2020/formulas/mathematics/high-school/6x22myeklv8gzm7dw7jkxfw79gl13zgfj6.png)
Explanation:
Weight of the rice bag = 40 pounds
Total number of roommates among whom the rice bag is split = 6
So the share of each person is given by
![\[(40)/(6)\]](https://img.qammunity.org/2020/formulas/mathematics/high-school/i87qgkhfeht8byhbtgep8uu6aqky7vsbz3.png)
=
![\[(20)/(3)\]](https://img.qammunity.org/2020/formulas/mathematics/high-school/tg8lueagsvjn2km7xxty688d4difa1vm0k.png)
=
![\[6(2)/(3)\]](https://img.qammunity.org/2020/formulas/mathematics/high-school/6x22myeklv8gzm7dw7jkxfw79gl13zgfj6.png)
So each of the roommates will get
pounds of rice.
Verification:
Multiplying this value by 6:
![\[(20)/(3) * 6\]](https://img.qammunity.org/2020/formulas/mathematics/high-school/tc1kvrea22a84najql5mvsxodrtuv5sdnm.png)
= 40