
Michael D. answered 07/07/22
Versatile STEM tutor eager to teach
If I am understanding your question correctly, it seems as though you have 100mg of a drug per 2ml of fluid. You need only 75mg of the drug and need to find the amount of ml of the fluid to have the proper dose.
Setup the problem inputs as follows. Since the density of 100mg per 2ml is constant, you can set them to equal in the equation.
100mg / 2ml = 75mg / x ml
Use algebra to solve for "x"
(100mg) * (x ml) = (75mg) * (2ml)
(x ml) = (75mg) * (2ml) / (100mg)
The units of "mg" will cancel out, leaving you with the units of "ml" only on the right, which then cancels with the "ml" on the left
(x ml) = (75mg) * (2ml) / (100mg)
x = 75*2/100
Answer :
x = 1.5