 Mathematics
27 August, 17:04

# Tylenol 3 has 7mg of Codeine per 14 ml of liquid. A safe dose of Codeine is 2.6 mg/Kg/day. A patient who weighs 200 pounds needs a Tylenol 3 prescription. There are 2.2 pounds for every 1 kilogram. Round all answers to the nearest 10th.How many kilograms is this persons mass?How many milligrams of Codeine can this patient have per day?How many milliliters of Tylenol-3 should the patient be prescribed to take every 6 hours?

+3
1. 27 August, 18:56
0
This person's mass is 90.9kg.

This patient can have 236.34 mg of codeine per day.

The patient should be prescribed 118.2ml of Tylenol-3 to take every 6 hours.

Step-by-step explanation:

The safe dose of Codeine is in mg/Kg/day, which means that the first step is converting the patient weight to kilograms.

For every 2.2 pounds there is a kilogram. So how many kilograms are 200 pounds? We can solve this by a direct rule of three.

1 kg - 2.2 p

x kg - 200p

x = 200/2.2

x = 90.9kg

So for the first questions, this person's mass 90.9kg.

For each kilogram, the patient can have 2.6mg of Codeine per day. So it is another direct rule of three.

1 kg - 2.6 mg/Codeine

90.9 kg - x mg/Codeine

x = 90.9*2.6 = 236.34 mg of Codeine.

So here is the answer for the second question. This patient can have 236.34 mg of codeine per day.

As for the third question.

For the entire day, the patient can be prescribed 236.34mg of Codeine. In 6 hours, which is a fourth of a day, he can be prescribed 236.34/4 = 59.1mg of Codeine.

For 7mg of Codeine there are 14ml of liquid, so it is another direct rule of three.

7mg C - 14ml l

59.1mg C - x ml l

x = 59.1*14/7 = 2*59.1 = 118.2 ml of Tylenol-3.

So, the patient should be prescribed 118.2ml of Tylenol-3 to take every 6 hours.