Final answer:
To find out how many capsules contain 100mg of the drug, we can set up a proportion using the information given. The answer is 5 capsules.
Step-by-step explanation:
To find out how many capsules contain 100mg of the drug, we need to set up a proportion. Since we know that 3 capsules contain 60mg of the drug, we can set up the following proportion:
3 capsules / 60mg = x capsules / 100mg
Now we can cross-multiply and solve for x:
3 * 100mg = 60mg * x capsules
300mg = 60mg * x capsules
Divide both sides by 60mg:
x capsules = 300mg / 60mg = 5 capsules
Therefore, 5 capsules contain 100mg of the drug.