pharmacy dosage calculation

A physician orders .5L of an 8% drug solution.
You only have 1L of 10% solution available. The solution can be diluted with SWFI.
Which of the following mixtures will yield the ordered solution?
A. 400mL SWFI + 100mL 10% Solution
B. 350mL SWFI + 150mL 10% Solution
C. 400mL 10% Solution + 100mL SWFI
D. None of the above

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pharmacy dosage calculation

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Solution
by: Anonymous

C. 400mL of 10% solution and 100mL of diluent

.5L=500mL and 1L=1000mL(this info isn't needed)

To find amount of 10% sol. used:
(IV)(IS)=(FV)(FS)
(x)(10%)=(500mL)(8%)
10x=4000
10x/10=4000/10
x=400mL of 10% sol.

To find amount of diluent used:
final volume-intial volume=amt of diluent
500mL(FV)-400mL of 10% soln=100mL of diluent

COULD ALSO BE SOLVED USING ALLIGATIONS...JUST HARDER TO TYPE THAT WAY :)

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