Problem

Solve the following parenteral dosage problem. The client is in pain. The physician's order is for Demerol 75 milligrams every 4 hours IM as needed for pain. The Demerol label reads 120 milligrams in 2 milliliter. How many milliliters should be given? milliliter(s) (Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed.)

Solution

Step 1 :The problem is asking for the amount of Demerol in milliliters that should be given to the client. To solve this, we need to set up a proportion to find out how many milliliters correspond to 75 milligrams of Demerol. The proportion is set up as follows: 120 milligrams is to 2 milliliters as 75 milligrams is to x milliliters.

Step 2 :Solving for x will give us the answer. We can set up the equation as follows: \(\frac{120}{2} = \frac{75}{x}\)

Step 3 :Cross multiplying gives us: \(120x = 150\)

Step 4 :Solving for x, we get: \(x = \frac{150}{120} = 1.25\)

Step 5 :Final Answer: The client should be given \(\boxed{1.25}\) milliliters of Demerol.

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Source: https://solvelyapp.com/problems/17736/

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