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?

Ques:- 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?
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One Answer on this Question

  1. 1. 1g
    2. 3g with 1g counter
    3. 3g
    4. 3g plus 1g
    5. 3g plus 1 g plus 1g weighed medicine
    6. 9g with 3g counter
    7. 9g with 1g of counter and 1g weighed medicine
    8. 9g with 1g counter
    9. 9g
    10. 9g plus 1g
    11. 9g plus 3g with 1g on counter
    12. 9g plus 3g
    13. All 3 weights on one side.

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