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In a combined ointment, what is the final percentage of drug with 30g of 0.5% hydrocortisone and 15g of 2.5% hydrocortisone?

  1. 0.012%

  2. 0.117%

  3. 1.17%

  4. 11.67%

The correct answer is: 1.17%

This is because when combining the ointments, we need to first find the total amount of hydrocortisone in both ointments. This can be done by multiplying the amount of ointment by the percentage of hydrocortisone in each. So for the first ointment, we have 30g * 0.5% = 0.15g of hydrocortisone, and for the second ointment, we have 15g * 2.5% = 0.375g of hydrocortisone. Adding these two amounts together, we get a total of 0.15g + 0.375g = 0.525g of hydrocortisone in the combined ointment. To find the final percentage, we divide the amount of hydrocortisone by the total amount of ointment, which is 45g (30g + 15g). This gives us a final percentage of (0.525g / 45g) * 100% = 1.17%. Therefore, option C is the correct answer. Options A, B, and D do not take into account the total amount of