Final answer:
Dividing Sharon's total amount of $20 by the cost per notebook ($2.75) gives approximately 7.27. She can therefore buy a maximum of 7 notebooks with her $20, as she cannot purchase a fraction of a notebook.
Step-by-step explanation:
The student's question involves determining the greatest number of notebooks that Sharon can buy with $20 given that each notebook costs $2.75. To solve for the number of notebooks, we can use the inequality 2.75n ≤ 20, where n represents the number of notebooks. Dividing both sides by 2.75 gives us n ≤ 20 / 2.75.
Performing the division of $20 by $2.75 yields approximately 7.27. Since Sharon cannot buy a fraction of a notebook, we must round down to the nearest whole number because she can only buy whole notebooks. Therefore, Sharon can buy a maximum of 7 notebooks with her $20.
Answer to the question: The greatest number of notebooks that Sharon can buy with $20 is 7, which corresponds to option B.