Final answer:
Working backward from the 6 apples Rylee had left after eating half, she initially had 12 apples before eating. Adding the 5 apples given to her neighbor reveals she originally bought 17 apples.
Step-by-step explanation:
To find out how many apples Rylee originally bought, we need to work backward through the information provided. At the end of the week, she has 6 apples left after eating half of what she had. This indicates that before she ate them, she had twice as many. Therefore, before snacking, she had 6 apples × 2 = 12 apples.
She had these 12 apples after giving 5 apples to her neighbor. So to find out how many she bought initially, we take the 12 apples she had after giving some away and add the 5 she gave to her neighbor. Thus, Rylee originally bought 12 apples + 5 apples = 17 apples at the store.