College

The pharmacist uses 67 mg, 100 g, and 0.6 kg of a drug to compound 3 separate prescriptions. How much total drug did the pharmacist use in grams?

Answer :

Answer: 700.067 g

Step-by-step explanation:

Given : The pharmacist uses 67mg, 100g and 0.6 kg of drug to compound 3 separate prescription.

We know that 1 gram= 1000 milligram

and 1 kilogram = 1000 grams

Then, By UNITARY METHOD, [tex]\text{1 mg}=\dfrac{1}{1000}\text{ gram}[/tex]

Now, We convert each amount of drug into grams as ,

[tex]67\ mg=67\times\dfrac{1}{1000}\ g\\\\=0.067\text{ g}[/tex]

AND

[tex]0.6\ kg=0.6\times100=60\text{ g}[/tex]

Now, the total drug used by Pharmacist (in grams) = [tex]0.067+100+600=700.067\ g[/tex]

Hence, Pharmacist used 700.067 g of total drug.

The total drug used by the pharmacist is 700.067 grams. We converted milligrams and kilograms to grams before summing them up. Thus, the calculations show the total amount of drug used.

The pharmacist uses three amounts of the drug: 67 mg, 100 g, and 0.6 kg. To find the total amount in grams, we first need to convert all units to grams.

  1. For 67 mg:
    1 gram = 1000 milligrams
    Therefore, 67 mg = 67 / 1000 = 0.067 grams
  2. 100 g is already in grams.
  3. For 0.6 kg:
    1 kilogram = 1000 grams
    Therefore, 0.6 kg = 0.6 * 1000 = 600 grams

Finally, add all the gram amounts together:
0.067 grams + 100 grams + 600 grams = 700.067 grams

Hence, the total amount of drug used by the pharmacist is 700.067 grams.