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To solve this problem, we need to address the following steps:

### Step 1: Calculate the Safe Recommended Dosage Range
1. The child's weight is \( 7.4 \) kg.
2. The recommended dosage is between \( 25 \) mg/kg/day and \( 35 \) mg/kg/day.

To calculate the safe dosage range for this child:
- **Lower limit:** \( 7.4 \, \text{kg} \times 25 \, \text{mg/kg/day} = 185 \, \text{mg/day} \)
- **Upper limit:** \( 7.4 \, \text{kg} \times 35 \, \text{mg/kg/day} = 259 \, \text{mg/day} \)

So, the safe recommended dosage range for this child is between **185 mg/day** and **259 mg/day**.

### Step 2: Determine if the Ordered Dose is Within the Safe Range
The medication is ordered at **100 mg three times a day**. This makes the total daily dose:
\[ 100 \, \text{mg} \times 3 = 300 \, \text{mg/day} \]

Since 300 mg/day exceeds the upper limit of the recommended dosage range (259 mg/day), this ordered dose is **above the safe range**.

### Step 3: Calculate the Dosage in Teaspoons if Within the Safe Range
This part of the question is based on the hypothetical that the ordered dose was within the safe range.

Given:
- The medication is supplied as **50,000 mcg/5 ml**.
- Converting 50,000 mcg to mg: \( 50,000 \, \text{mcg} = 50 \, \text{mg} \).
- Therefore, \( 5 \, \text{ml} = 50 \, \text{mg} \), which simplifies to \( 1 \, \text{ml} = 10 \, \text{mg} \).

For the ordered 100 mg per dose:
\[ \frac{100 \, \text{mg}}{10 \, \text{mg/ml}} = 10 \, \text{ml} \]

Since \( 1 \, \text{teaspoon} = 5 \, \text{ml} \):
\[ \frac{10 \, \text{ml}}{5 \, \text{ml/teaspoon}} = 2 \, \text{teaspoons} \]

Thus, if the ordered dose were within the safe range, the nurse should administer **2 teaspoons per dose**.

Would you like more details or have any questions about this solution?

### Related Questions
1. How do you convert between mg, mcg, and ml in medication dosage problems?
2. What factors might justify a dose outside the recommended range?
3. Why is weight-based dosing important in pediatric medication?
4. What are common methods to check if a dosage is within a safe range?
5. How can you verify the concentration of a medication when calculating doses?

#### Tip
Always double-check dosage calculations, especially in pediatric cases, as children's bodies process medication differently than adults.

A child weighs 7.4 kg. A medication is ordered 100 mg three times a day. The recommended dose is 25-35 mg/kg/day in four divided doses. The medication is supplied in 50,000 mcg/5 ml. What is the safe recommended dosage range for this child? If the ordered dose is within the safe dosage range, how many tsp should be the nurse administer per dose?

Learn how to calculate the safe recommended dosage range for a 7.4 kg child with a prescribed medication dosage of 100 mg three times a day. This problem includes unit conversions and dosage calculations, suitable for students in Grades 9-12.

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