If we increased the dosage to 128 percent of the original dosage and the new dosage was 3840 units, what was the original dosage?

Answer :

Final answer:

To find the original dosage, set up a proportion with the new dosage and the percent increase, and solve for the unknown.

Explanation:

To find the original dosage, we can set up the proportion:

New Dosage / Original Dosage = Percent Increase / 100

Given that the new dosage is 3840 units and the percent increase is 128%, we can substitute these values into the proportion:

3840 / Original Dosage = 128 / 100

To solve for the original dosage, we can cross multiply and solve for the unknown:

128 * Original Dosage = 3840 * 100

Original Dosage = (3840 * 100) / 128

Calculating the equation, we find that the original dosage is 3000 units.