A patient has been ordered 750 mg/day of medication that is available in tablets of 75mg each. The nurse will administer a dosage of 2 tablets, every 3 hours. If the first dose is administered at 6am, when will the last dose be administered?

The last dose will be administered at 6 P. M.

Step-by-step explanation:

This problem can be solved by direct rule of three.

The problem states that each tablet has 75mg of medication, and that every 3 hours, 2 tablets are administered.

So

1 tablet - 75mg of medication

2 tabets - xmg of medication

x = 150mg

It means that in each dose, 150mg of medication are administed.

At 6am, as the first dose is administered, the patient will have taken 150mg of medication. In how many doses will the patient have been administed 750mg?

1 dose - 150mg

x doses - 750mg

150x = 750

x = 5 doses.

The doses are administed in intervals of 3 hours. After the first dose, there will be 4 doses remaining. So it will take 4*3 = 12 hours to administer 4 doses.

So, if the first dose is administed at 6am, the last is going to be administed at 6h+12h = 18h = 6P. M.