Seventy Five Years Ago Pharmacists Weighed Medicine On Balances Like The Ones You Have Been Using. The Mass Pieces Were Very Expensive, So A Pharmacist Would Buy As Few Mass Pieces As Possible. If A Pharmacist Had 1 G, 3 G, And 9 G Mass Pieces, He Or She Could Weight Out Any Number Of Grams From 1 G To 13 G. Show How Could Measure All Of The Masses From 1 G To 13 G Using Only The Three Mass Pieces Given?

⟩ Seventy five years ago pharmacists weighed medicine on balances like the ones you have been using. The mass pieces were very expensive, so a pharmacist would buy as few mass pieces as possible. If a pharmacist had 1-g, 3-g, and 9-g mass pieces, he or she could weight out any number of grams from 1 g to 13 g. Show how could measure all of the masses from 1 g to 13 g using only the three mass pieces given?

Ya,he can measure..

Initially 2 gm will be calculated by taking 3 gm and removing 1 gm using 1 gm mass..Then similarly,

2=3gm-1gm

4=3gm+1gm

5=9gm-(3gm+1gm)

6=9gm-3gm

7=(9gm+1gm)-3gm

8=9gm-1gm

10=9gm+1gm

11=(9gm+3gm)-1gm

12=9gm+3gm

13=9gm+3gm+1gm

Thus he can measure from 1-13 gms

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