1. **Problem statement:** A farmer has harvested 963 mangoes and needs to pack them equally into 15 baskets. We are asked to estimate how many mangoes go into each basket. 2. To find the number of mangoes per basket, divide the total mangoes by the number of baskets: $$\text{Mangoes per basket} = \frac{963}{15}$$ 3. Calculate the division: $$\frac{963}{15} = 64.2$$ 4. Since the farmer packs mangoes equally and typically whole mangoes are packed, estimate the number as the nearest whole number, which is 64 mangoes per basket. **Final answer:** Approximately 64 mangoes per basket.