Step 1 :First, we need to find out how many milligrams of Amoxicillin are in one drop. We know that 1 milliliter contains 50 milligrams of Amoxicillin and 1 milliliter is equivalent to 15 drops. So, we can calculate the milligrams of Amoxicillin per drop by dividing 50 milligrams by 15 drops. The formula is \(\frac{50}{15} = 3.33\) milligrams per drop.
Step 2 :Then, we need to find out how many drops are needed for a dose of 25 milligrams. We can do this by dividing the dose by the milligrams of Amoxicillin per drop. The formula is \(\frac{25}{3.33} = 7.5\) drops.
Step 3 :However, it's not practical to give half a drop. Therefore, we should round up to the nearest whole number to ensure the child gets at least the required dose. So, the final number of drops is \(\lceil7.5\rceil = 8\) drops.
Step 4 :Final Answer: The child will be given \(\boxed{8}\) drops.