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Alligation /Alternate. Purpose: An easy method to make a new strength from two existing strengths. Triamcinolone cream is available in strengths of 0.1% and 0.5%. What quantity of 0.1% and 0.5% cream is needed to make 100 grams of 0.2% triamcinolone cream?. Sample Problem.

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Alligation alternate l.jpg

Alligation/Alternate

Purpose:

An easy method to make a new strength from two existing strengths


Sample problem l.jpg

Sample Problem


Basic set up l.jpg

% strength starting material #2 minus % strength desired (absolute value)

% strength starting

Material #1

0.1

0.3

% strength desired (final product)

0.2

% strength starting material #1 minus % strength desired (absolute value)

% strength starting

Material #2

Basic Set Up

0.1

0.5


Slide4 l.jpg

% strength starting material #2 minus % strength desired (absolute value)

Value is the # of parts needed of starting material #1

0.3

0.3

Value is the # of parts needed of starting material #2

% strength starting material #1 minus % strength desired (absolute value)

0.1

0.1

Total # of parts needed

0.4


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0.3 (absolute value)

0.4

0.75

Value is the # of parts needed of starting material #1

Total # of parts needed

Ratio needed for starting material #1

0.1

0.4

0.25

Value is the # of parts needed of starting material #2

Total # of parts needed

Ratio needed for starting material #2


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75 grams 0.1% cream (absolute value)

0.75

100 grams

Ratio needed for starting material #1

Final amount of product desired

Amount needed of starting material #1

25 grams 0.5% cream

0.25

100 grams

Ratio needed for starting material #2

Final amount of product desired

Amount needed of starting material #2


Answer l.jpg

75 grams 0.1% cream (absolute value)

25 grams 0.5% cream

100 grams 0.2% cream

Answer


Example problem l.jpg

Example Problem


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20% a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

4 parts

9%

5%

11 parts

Basic Set Up


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4 parts a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

4 parts

11 parts

11 parts

15 parts


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4 parts a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

15 parts

0.267

11 parts

15 parts

0.733


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0.267 a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

50 grams

13.3 grams

0.733

50 grams

36.7 grams


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13.3 grams of 20% HC cream a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

36.7 grams of 5% HC cream

50 grams of 9% HC cream


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Created by: a 5% HC cream would be needed to make 50 grams of a 9% HC cream?

Jeff Sundell &

Doug White


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