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

(Draw a diagram as an aid in solving the problem.)

Answer :

Final answer:

To find the original dosage before the increase to 128 percent, divide the new dosage of 3840 units by 1.28, which results in 3000 units.

Explanation:

If the doctor increased the dosage to 128 percent of the original dosage and the new dosage is 3840 units, we want to find the original dosage.

Since 128% equals 1.28 in decimal form, we can represent the original dosage as 'x'.

Therefore, 1.28x = 3840

To find the original dosage, we divide both sides of the equation by 1.28. So, x (original dosage) = 3840 / 1.28.

The calculation results in the original dosage being 3000 units.

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