Answered

What dosage in grams per kilogram of body weight does a 134 lb woman receive if she takes two 275 mg tablets of penicillin?
How many 150. mg tablets should a 31 lb child take to receive the same dosage?

Answer :

MAACASTROBRGO

Answer:

  • The dosage is 0.0906 g/kg
  • The child should take 8.5 tablets to receive the same dosage

Explanation:

First we convert 134 lb into kg:

  • 1 lb = 0.453 kg
  • 134 lb * [tex]\frac{0.453kg}{1lb}[/tex] = 60.702 kg

Then we convert 275 mg into g:

  • 1000 mg = 1 g
  • 275 mg * [tex]\frac{1g}{1000mg}[/tex] = 0.275 g

Now we can calculate the dosage in grams per kilogram of body weight, keeping in mind that two tablets are consumed:

  • (0.275 g) * 2 / 60.702 kg = 0.0906 g/kg

As for the second part, first we convert 31 lb into kg:

  • 31 lb * [tex]\frac{0.453 kg}{1lb}[/tex] = 14.043 kg

Now we calculate how many penicillin grams should be consumed:

  • 14.043 kg * 0.0906 g/kg = 1.27 g

We convert 1.27 g of penicilin into mg:

  • 1.27 g * 1000 = 1270 mg

Finally we calculate how many 150 mg tables should be taken:

  • 1270 mg / 150 mg = 8.5 tablets

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