A 12-year-old girl was prescribed promethazine 12.5mg bd for 3 days. Stock is 25mg tablet. Calculate the number of tablets she has to receive for a complete course.

Mathematics
A 12-year-old girl was prescribed promethazine 12.5mg bd for 3 days. Stock is 25mg tablet. Calculate the number of tablets she has to receive for a complete course.

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Answer

20 days

Question 1 (a)

Step 1: Calculate Eli's daily dose of erythromycin.

Formula: Daily dose = dose per kg per day ×\times body weight

Eli's body weight = 50 kg (12-year-old child)

Dose = 55 mg/kg/day

Daily dose = 55 mg/kg/day ×50\times 50 kg = 250250 mg/day

Step 2: Calculate concentration of suspension.

Formula: Concentration = mgper5ml5ml\frac{mg per 5 ml}{5 ml}

Concentration = 125mg5ml\frac{125 mg}{5 ml} = 2525 mg/ml

Step 3: Calculate total drug in the bottle.

Formula: Total drug = concentration ×\times volume of bottle

Total drug = 2525 mg/ml ×200\times 200 ml = 50005000 mg

Step 4: Calculate how many days the bottle will last.

Formula: Days = totaldrugdailydose\frac{total drug}{daily dose}

Days = 5000mg250mg/day\frac{5000 mg}{250 mg/day} = 2020 days

The bottle will last 20\mathbf{20} days.

20 days

Question 1 (b)

James is prescribed 50 mg oral qid for 5 days. Assume 50 mg tablets.

Step 1: Calculate daily dose.

qid = 4 doses per day

Daily dose = 5050 mg/dose ×4\times 4 doses/day = 200200 mg/day

Step 2: Calculate total dose for 5 days.

Total dose = 200200 mg/day ×5\times 5 days = 10001000 mg

Step 3: Calculate number of tablets.

Formula: Number of tablets = totaldosemgpertablet\frac{total dose}{mg per tablet}

Number of tablets = 1000mg50mg/tablet\frac{1000 mg}{50 mg/tablet} = 2020 tablets

Drew/James needs 20\mathbf{20} tablets for the complete course.

20

Question 1 (c)

Assume: Patient receiving 500 ml serum IV over 10 hours. Drop factor = 20 drops/ml. Calculate drops per minute.

Step 1: Calculate total infusion time in minutes.

Time = 1010 hours ×60\times 60 min/hour = 600600 min

Step 2: Calculate infusion rate in ml/min.

Formula: ml/min = totalvolumetotaltime\frac{total volume}{total time}

ml/min = 500ml600min\frac{500 ml}{600 min} = 56\frac{5}{6} ml/min 0.833\approx 0.833 ml/min

Step 3: Calculate drops per minute.

Formula: gtt/min = ml/min ×\times drop factor

gtt/min = 56\frac{5}{6} ml/min ×20\times 20 drops/ml = 1006\frac{100}{6} gtt/min 16.7\approx 16.7 gtt/min

Set the drip rate to 17\mathbf{17} gtt/min (rounded).

17 gtt/min

Question 1 (d)

Assume: The 500 ml serum contains 1000 mg drug (e.g., 1 g), infused over 10 hours. Calculate mg/min.

Step 1: Concentration of drug.

Formula: Conc. = totaldrugvolume\frac{total drug}{volume}

Conc. = 1000mg500ml\frac{1000 mg}{500 ml} = 22 mg/ml

Step 2: Drug delivery rate.

From (c), ml/min = 56\frac{5}{6} ml/min

mg/min = 22 mg/ml ×56\times \frac{5}{6} ml/min = 106\frac{10}{6} mg/min 1.67\approx 1.67 mg/min

Lucy receives 1.67\mathbf{1.67} mg/min.

1.67 mg/min

Question 1 (e)

From (b), daily tablets for James = 200mg/day50mg/tablet\frac{200 mg/day}{50 mg/tablet} = 44 tablets/day

Number of tablets taken every day: 4\mathbf{4}

4

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Quick Answer

Question 1 (a) Step 1: Calculate Eli's daily dose of erythromycin.

A 12-year-old girl was prescribed promethazine 12.5mg bd for 3 days. Stock is 25mg tablet. Calculate the number of tablets she has to receive for a complete course.
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Question 1 (a) Step 1: Calculate Eli's daily dose of erythromycin. Formula: Daily dose = dose per kg per day × body weight Eli's body weight = 50 kg (12-year-old child) Dose = 5 mg/kg/day Daily dose = 5 mg/kg/day × 50 kg = 250 mg/day Step 2: Calculate concentration of suspension. Formula: Concentration = mg per 5 ml5 ml Concentration = 125 mg5 ml = 25 mg/ml Step 3: Calculate total drug in the bottle. Formula: Total drug = concentration × volume of bottle Total drug = 25 mg/ml × 200 ml = 5000 mg Step 4: Calculate how many days the bottle will last. Formula: Days = total drugdaily dose Days = 5000 mg250 mg/day = 20 days The bottle will last 20 days. 20 days Question 1 (b) James is prescribed 50 mg oral qid for 5 days. Assume 50 mg tablets. Step 1: Calculate daily dose. qid = 4 doses per day Daily dose = 50 mg/dose × 4 doses/day = 200 mg/day Step 2: Calculate total dose for 5 days. Total dose = 200 mg/day × 5 days = 1000 mg Step 3: Calculate number of tablets. Formula: Number of tablets = total dosemg per tablet Number of tablets = 1000 mg50 mg/tablet = 20 tablets Drew/James needs 20 tablets for the complete course. 20 Question 1 (c) Assume: Patient receiving 500 ml serum IV over 10 hours. Drop factor = 20 drops/ml. Calculate drops per minute. Step 1: Calculate total infusion time in minutes. Time = 10 hours × 60 min/hour = 600 min Step 2: Calculate infusion rate in ml/min. Formula: ml/min = total volumetotal time ml/min = 500 ml600 min = (5)/(6) ml/min ≈ 0.833 ml/min Step 3: Calculate drops per minute. Formula: gtt/min = ml/min × drop factor gtt/min = (5)/(6) ml/min × 20 drops/ml = (100)/(6) gtt/min ≈ 16.7 gtt/min Set the drip rate to 17 gtt/min (rounded). 17 gtt/min Question 1 (d) Assume: The 500 ml serum contains 1000 mg drug (e.g., 1 g), infused over 10 hours. Calculate mg/min. Step 1: Concentration of drug. Formula: Conc. = total drugvolume Conc. = 1000 mg500 ml = 2 mg/ml Step 2: Drug delivery rate. From (c), ml/min = (5)/(6) ml/min mg/min = 2 mg/ml × (5)/(6) ml/min = (10)/(6) mg/min ≈ 1.67 mg/min Lucy receives 1.67 mg/min. 1.67 mg/min Question 1 (e) From (b), daily tablets for James = 200 mg/day50 mg/tablet = 4 tablets/day Number of tablets taken every day: 4 4