Question

A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours starting​ immediately, how much antibiotic should be given in each​ dose? To answer this​ question, solve the equation 8x=2100.

Answer 1

Answer:

Given: 8x=2100

x=2100/8

=262.4mg approx

Answer 2

Solution :-

→ Total quantity of antibiotic given to patient = 2100 mg

→ Total Time period = 48 hours

→ Time difference between each dose = 6 hours.

So,

→ Total number of dose given to patient = Total time period / Time difference between each dose = 48/6 = 8 doses .

now, let us assume that, x mg of antibiotic is given to patient in each dose.

then,

→ Total number of dose * quantity of antibiotic in each dose = Total quantity of antibiotic .

→ 8 * x = 2100

dividing both sides by 4,

→ 2x = 525

dividing both sides by 2,

→ x = 262.5 mg (Ans.)

Hence, 262.5 milligrams of antibiotic should be given in each dose .

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