How many grams of drug does it take to make 1000ml of a 3:4 solution?

To determine how many grams of drug are required to make a 1000 ml solution in a 3:4 ratio, it's important to understand what the ratio represents. A 3:4 solution means that for every 3 parts of the drug, there are 4 parts of total solution. Thus, the total number of parts in this solution is 3 + 4 = 7 parts.

Next, to find out how many grams of drug correspond to the 3 parts in this ratio when we know the total volume of the entire solution is 1000 ml, we can set up the calculation as follows.

First, each part can be calculated by dividing the total volume by the number of parts:

1 part = 1000 ml / 7 = approximately 142.86 ml per part.

Now, to find out how much drug is in the 3 parts:

3 parts of drug = 3 * 142.86 ml = approximately 428.57 ml.

Since the question asks for the amount in grams rather than milliliters, if we assume the density of the solution is such that 1 ml equals 1 gram (which is common for a simple solution unless otherwise specified), then we can directly state that