Question

5. The directions for a pain reliever recommend that an adult of 60 kg (or above)
take 4 tablets every 4 hours as needed, and an adult who weighs between 40 and
50 kg take 2 tablets every 4 hours as needed. Each tablet weighs gram.
(a) If a 72 kg adult takes 4 tablets, how many grams of pain reliever is he or she
receivings?
(b) How many grams of pain reliever is the recommended dose for an adult
weighing 46 kg?





answer in detail
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Answer 1

(a) He or She is receiving $\frac{16}{25}$ grams of pain reliever.

(b) $\frac{8}{25}$ grams of pain reliever is the recommended dose for an adult  weighing 46 kg.

Step-by-step explanation:

We are given that he directions for a pain reliever recommend that an adult of 60 kg (or above)  take 4 tablets every 4 hours as needed, and an adult who weighs between 40 and  50 kg take 2 tablets every 4 hours as needed.

Each tablet weighs (4/25) grams.

So, Adult of 60 kg or above = 4 tablets every 4 hours

     Adult between 40 and 50 Kg = 2 tablets every 4 hours

(a) Now, if a 72 kg adult takes 4 tablets, we have to find how many grams of pain reliever is he or she  receiving, that is;

As it is clear that 72 kg adult falls in the category of 60 kg or above, which means he will take 4 tablets every 4 hours.

So, the weight of one tablet = $\frac{4}{25}$ grams

     The weight of 4 tablets =  $\frac{4}{25} \times 4$  = $\frac{16}{25}$ grams

This means that he or she is receiving $\frac{16}{25}$ grams of pain reliever.

(b) Now, we have to find how many grams of pain reliever is the recommended dose for an adult  weighing 46 kg, that is;

As it is clear that 46 kg adult falls in the category of between 40 and 50 kg of weight, which means he will take 2 tablets every 4 hours.

So, the weight of one tablet = $\frac{4}{25}$ grams

     The weight of 2 tablets =  $\frac{4}{25} \times 2$  = $\frac{8}{25}$ grams

This means that $\frac{8}{25}$ grams of pain reliever is the recommended dose for an adult  weighing 46 kg.