MATH SOLVE

2 months ago

Q:
# How many grams of digoxin (Lanoxin) would be required to make 25,000 tablets each containing 250 mcg of digoxin?

Accepted Solution

A:

Answer:6.25 grams would be requiredStep-by-step explanation:This problem can be solved as a rule of three problem.In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.Unit conversion problems, like this one, is an example of a direct relationship between measures.First step: The first step is determining how many mcg are used to make Β 25,000 tablets.The problem states that each tablet contains 250 mcg of digoxin. So:1 tablet - 250mcg25,000 tables - x mcgx = 25,000*250x = 6,250,000 mcg25,000 tables have 6,250,000mcgFinal step: Conversion of 6,250,000mcg to gEach g has 1,000,000 mcg. How many g are in 6,250,000mcg? So:1g - 1,000,000 mcgxg - 6,250,000 mcg1,000,000x = 6,250,000[tex]x = \frac{6,250,000}{1,000,000}[/tex]x = 6.25g6.25 grams would be required