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A patient is prescribed medication 'ii tds' from a pack of 20 tablets. How many days will the pack last?

Mathematics

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Answers

3 parts
2.1

20 doses\text{20 doses}

2.2

5 days\text{5 days}

3.1

4 grams of drug A\text{4 grams of drug A}

6 grams of drug B\text{6 grams of drug B}

Step-by-step solution

8 steps

Step 1: Calculate the daily dosage.
The prescription "ii tds" means 2 tablets three times a day.

Daily dosage=2 tablets/dose×3 doses/day=6 tablets/day\text{Daily dosage} = 2 \text{ tablets/dose} \times 3 \text{ doses/day} = 6 \text{ tablets/day}

Step 2: Calculate the number of days the pack will last.
The pack contains 20 tablets.

Number of days=Total tabletsDaily dosage=20 tablets6 tablets/day=3.33 days\text{Number of days} = \frac{\text{Total tablets}}{\text{Daily dosage}} = \frac{20 \text{ tablets}}{6 \text{ tablets/day}} = 3.33 \text{ days}

Since the patient can only continue treatment for whole days, the treatment will last for 3 days.

The patient will be able to continue the treatment for 3 days\boxed{\text{3 days}}.

Part 2.1· 2 steps

  1. Determine the minimum dose per administration.

    The usual dose is given as 1 mL. This is the minimum dose.

  2. Calculate the total number of doses in the container.

    The product is available in bottles of 20 mL.

    Number of doses=Total volume in containerMinimum dose per dose=20 mL1 mL/dose=20 doses\text{Number of doses} = \frac{\text{Total volume in container}}{\text{Minimum dose per dose}} = \frac{20 \text{ mL}}{1 \text{ mL/dose}} = 20 \text{ doses}

    There are 20 doses\boxed{\text{20 doses}} included in the container.

Part 2.2

5 days\text{5 days}

  1. Calculate the daily volume consumed using the minimum dose.

    The minimum dose is 1 mL, and it is taken four times daily.

    Daily consumption=1 mL/dose×4 doses/day=4 mL/day\text{Daily consumption} = 1 \text{ mL/dose} \times 4 \text{ doses/day} = 4 \text{ mL/day}

  2. Calculate how long the bottle will last.

    The bottle contains 20 mL.

    Duration=Total volume in containerDaily consumption=20 mL4 mL/day=5 days\text{Duration} = \frac{\text{Total volume in container}}{\text{Daily consumption}} = \frac{20 \text{ mL}}{4 \text{ mL/day}} = 5 \text{ days}

    The bottle will last the patient for 5 days\boxed{\text{5 days}}.

Part 3.1

4 grams of drug A\text{4 grams of drug A}

  1. Calculate the total amount of drug A needed.

    Each tablet contains 200 mg of drug A, and 20 tablets are to be prepared.

    Total drug A=200 mg/tablet×20 tablets=4000 mg\text{Total drug A} = 200 \text{ mg/tablet} \times 20 \text{ tablets} = 4000 \text{ mg}

  2. Convert the total amount of drug A to grams.

    Total drug A in grams=4000 mg1000 mg/g=4 g\text{Total drug A in grams} = \frac{4000 \text{ mg}}{1000 \text{ mg/g}} = 4 \text{ g}

  3. Calculate the total amount of drug B needed.

    Each tablet contains 300 mg of drug B, and 20 tablets are to be prepared.

    Total drug B=300 mg/tablet×20 tablets=6000 mg\text{Total drug B} = 300 \text{ mg/tablet} \times 20 \text{ tablets} = 6000 \text{ mg}

  4. Convert the total amount of drug B to grams.

    Total drug B in grams=6000 mg1000 mg/g=6 g\text{Total drug B in grams} = \frac{6000 \text{ mg}}{1000 \text{ mg/g}} = 6 \text{ g}

    You need 4 grams of drug A\boxed{\text{4 grams of drug A}} and 6 grams of drug B\boxed{\text{6 grams of drug B}}.

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