# Question #708f5

##### 1 Answer

Here's what I got.

#### Explanation:

You know that you are starting with a *mass by volume percent concentration*, that you dilute by a factor of

Before the dilution, the initial solution contained **for every**

When you dilute this solution by a factor of **the same amount of solution**, let's say **times less solute** than the original solution. In other words, the starting solution must be **times more concentrated** than the diluted solution.

This means that after the dilution, the solution will contain

#"0.4 g"/10 = "0.04 g"#

of drug **for every** *milligrams* of drug

#0.04 color(red)(cancel(color(black)("g"))) * (10^3"mg")/(1color(red)(cancel(color(black)("g")))) = "40 mg"#

Therefore, you can say that for the **diluted solution**, you have

#"40 mg drug " -> " 100 cm"^3 color(white)(.)"solution" " "color(orange)("(*)")#

Now, the patient received

#"120 mg drug"/"3 doses" = "40 mg drug / dose"#

You can thus say that the patient received **per dose** and that each dose had a volume of