Final Answer:
The 8-pound box of broccoli can be evenly split among 10 people, with each person receiving 4/5 pound of broccoli.
Step-by-step explanation:
To find out how many people can evenly split an 8-pound box of broccoli, we can divide the total weight of the box by the amount each person receives. Given that each person gets 4/5 pound of broccoli, we divide 8 pounds by 4/5 pound/person:
8 ÷ (4/5) = 8 × (5/4) = 10
Therefore, the box of broccoli can be evenly split among 10 people, with each person receiving 4/5 pound of broccoli.
In summary, by dividing the total weight of the box by the amount each person receives, we find that the 8-pound box of broccoli can be evenly split among 10 people, with each person receiving 4/5 pound of broccoli. This ensures an equal distribution and fair share for all individuals involved.
In conclusion, when dividing a quantity equally among a given number of recipients, it is essential to consider both the total quantity and the amount each recipient will receive. In this case, dividing the total weight of the box by the individual portion size reveals that 10 people can evenly split an 8-pound box of broccoli, with each person receiving 4/5 pound.