Maximum Number of Basketballs: Solving an Inequality Problem

Let's assume that 'm' basketballs are purchased, which means that '(50-m)' soccer balls are purchased. According to the given conditions, we have the inequality: 80m + 50(50-m) ≤ 3000. Solving this inequality, we get m ≤ 16 2/3. Since 'm' must be an integer, the maximum value for 'm' is 16. Therefore, the maximum number of basketballs that can be purchased is 16. Thus, the answer is A.