High School

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

A) 3000 units
B) 3200 units
C) 2800 units
D) 3005 units

Answer :

Final answer:

Let the original dosage be x units. If we increased the dosage to 128% of the original dosage and the new dosage is 3840 units, the original dosage was 3000 units. Thus the correct option is A) 3000 units.

Explanation:

Let the original dosage be x units.



If we increased the dosage to 128% of the original dosage, the new dosage would be 1.28x units.



Given that the new dosage is 3840 units, we can set up the equation:



1.28x = 3840



Solving for x, we divide both sides by 1.28:



x = 3840 / 1.28 = 3000



Therefore, the original dosage was 3000 units.

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