Step 1 :First, we need to find out how many milliliters the child will be given. We can do this by dividing the drug dose by the available supply. So, \(\frac{27}{50} = 0.54\) milliliters.
Step 2 :Then, we can convert the milliliters to drops by multiplying by 15. So, \(0.54 \times 15 = 8\) drops.
Step 3 :Round to the nearest drop as needed, the child will be given 8 drops.
Step 4 :Final Answer: The child will be given \(\boxed{8}\) drops.