Final answer:
The smallest possible number of sweets Sue could receive is 14.
Step-by-step explanation:
The smallest possible number of sweets Sue could receive when Basil, Oscar, and Sue share 43 sweets, with Sue receiving the largest share, is 14. To find this, we can start by determining the largest possible number of sweets Basil and Oscar could receive. Let's assume Basil gets 20 sweets and Oscar gets 19 sweets. To find the smallest number of sweets Sue could receive, we subtract the sum of Basil and Oscar's sweets from the total number of sweets, which gives us 43 - (20 + 19) = 43 - 39 = 4. Since Sue must receive the largest share, the smallest possible number of sweets she could receive is 4. Therefore, the correct answer is A) 14.