Final answer:
Each friend will receive 5 cartons of juice from the 3 dozen cartons Tim has, and there will be 1 carton leftover.
Step-by-step explanation:
Tim has 3 dozen cartons of juice, which equals 36 cartons since 1 dozen equals 12 cartons (3 x 12 = 36). Seven friends are at the party, and they want to share the cartons equally. To determine how many cartons each friend will get, you divide the total number of cartons by the number of friends.
36 cartons ÷ 7 friends = 5 cartons per friend, with 1 carton left over.
To put it into context, this means each friend will receive 5 cartons of juice, and there will be 1 carton of juice remaining that cannot be evenly distributed.