Answer:
166.7 mg
Step-by-step explanation:
• We are told that the 1500 mg of antibiotic needs to be given over 36 hours, and that a dose has to be given every 4 hours. Using this information, we can calculate the number of doses to be given in 36 hours:
number of doses = [tex]36 \div 4[/tex]
= [tex]\bf 9 \space\ \mathrm{doses}[/tex]
• This means that 1500 mg of antibiotic has to be given over 9 doses. If we consider [tex]x[/tex] to be the amount given in each dose, we can form the equation:
[tex]9x = 1500[/tex]
Now we can solve for [tex]x[/tex]:
⇒ [tex]\frac{9}{9} x = \frac{1500}{9}[/tex] [dividing both sides of equation by 9]
⇒ [tex]x \approx \bf \mathrm{\bf 166.7 \space\ mg}[/tex]
Therefore, 166.7 mg of antibiotic should be given in each dose.
