To determine how much of the 50% solution you need to use to make 600ml of 10% drug H, we can set up a proportion based on the percentages of the solutions.
Let's assume x represents the volume of the 50% solution needed.
Since we want to make a 10% solution of 600ml, the total amount of drug H in the final solution would be 10% of 600ml, which is 0.10 * 600 = 60ml.
Using the proportion:
(50% solution amount in ml) / (0.50) = (60ml) / (0.10)
Simplifying the equation:
(50% solution amount in ml) * (0.10) = (60ml) * (0.50)
(50% solution amount in ml) = (60ml) * (0.50) / (0.10)
(50% solution amount in ml) = 600 / (0.10)
(50% solution amount in ml) = 6000
Therefore, you need to use 6000ml (or 6 liters) of the 50% solution to make 600ml of 10% drug H.