To make a 1 in 500 solution, we need 1 unit of the drug (usually expressed in grams or milligrams) for every 500 units of the final solution (usually expressed in milliliters or liters).
Since we want to make 5 liters of the solution, we can start by converting liters to milliliters, which gives:
5 liters = 5,000 milliliters
Now we can use the ratio of 1 unit of the drug per 500 units of the solution to find how much drug we need. We can set up a proportion:
1 unit of drug / 500 units of solution = x grams of drug / 5,000 units of solution
To solve for x, we can cross-multiply and simplify:
x grams of drug = (1 unit of drug / 500 units of solution) x 5,000 units of solution x grams of drug = 10 grams
Therefore, we need 10 grams of the drug to make 5 liters of a 1 in 500 solution.
