Final answer:
Dan received 40 oranges, and Sissy had 24 more oranges than Isaac after distributing 160 oranges where Sissy and Isaac shared the remainder in a 3:2 ratio.
Step-by-step explanation:
The question asks how to distribute 160 oranges among Dan, Isaac, and Sissy with Dan receiving a quarter of the oranges and Sissy and Isaac sharing the remainder in a ratio of 3:2.
Step 1: Calculate the number of oranges Dan received.
Dan got 1/4 of the oranges, so:
160 oranges * 1/4 = 40 oranges
Step 2: Determine the remainder to be shared between Sissy and Isaac.
160 oranges - 40 oranges = 120 oranges remaining.
Step 3: Calculate the ratio shares for Sissy and Isaac (3:2 ratio).
Total parts in the ratio = 3 + 2
= 5 parts.
Each part is therefore 120 oranges / 5 parts = 24 oranges per part.
Sissy's share = 3 parts * 24 oranges/part
= 72 oranges.
Isaac's share = 2 parts * 24 oranges/part
= 48 oranges.
Step 4: Find how many more oranges Sissy had than Isaac.
72 oranges - 48 oranges = 24 more oranges.
Dan received 40 oranges, and Sissy had 24 more oranges than Isaac.