alligation in pharmacy calculation

Health & Medical
Tutor: None Selected Time limit: 1 Day

prepare 30% dextrose using 50% and 5% dextrose solution.  How much of each to make 1 liter?  please show me the work

May 18th, 2015

To process a prescription order for a 30% dextrose solution, the pharmacy technician would mix the stock solutions of 50% dextrose and 5% dextrose solutions in which ratio? 
------------------------------------------------------------
Using the alligation method:
50 __________ 7.5
______50_______
5 ___________ 7.5

7.5 = 7.5 
1 : 1
the ratio is 1 to 1
If you prepare 1L of a 7.5% dextrose solution using the stock solutions of 5% (D5W) dextrose and 50% (D20W) dextrose, how many milliliters (mL) of each dextrose solution will be needed? 
------------------------------------------------------------
Using the alligation method:
50 __________ 2.5
_______7.5________
5 ___________ 30

2.5 is the number of parts of the 50% solution.
30 is the number of parts of the 5% solution.
2.5 + 30 = 32.5 parts (total number of parts of the 7.5% solution)

50% dextrose solution:
x / 2.5 parts = 1L/32.5 parts
x = 42 mL D20W

5% dextrose solution:
x / 12.5 parts = 250 mL/15 parts
x = 208 mL D5W

Add the volume 42 mL to the volume 208 mL in order to get to the volume of the 7.5% dextrose solution:
42 mL + 208 mL = 250 mL

May 18th, 2015

The answer in the work book is 444ml of 5% and 556 ml of 50% can't get this answer

May 18th, 2015

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