22. If 30 g of 5% ointment is combined with 10 g of 40% ointment what is the percentage strength of the final product?
Answer: C
13.80%
To determine the percentage strength of the final product, first, calculate the total amount of active ingredient from each ointment and then find the overall percentage in the combined total mass of the ointments.
A) 1.20%
This option is incorrect because it underestimates the concentration of the active ingredient in the final mixture. Given the amounts and concentrations of the ointments used, the calculated percentage would be much higher than 1.20%.
B) 5.50%
This option is also incorrect as it does not accurately reflect the total active ingredient concentration in the combined ointment. The calculations based on the provided concentrations and weights yield a higher percentage than 5.50%.
C) 13.80%
This option is correct. By calculating the total active ingredient from both ointments, we find that the final percentage strength of the product is 13.80%. The calculations show that the combined weight of the active ingredients leads directly to this percentage.
D) 18.00%
This option is incorrect because it overestimates the percentage strength of the final product. The actual calculation shows a lower concentration than 18.00%, reflecting the combined contribution of both ointments accurately.
Conclusion
The correct answer is 13.80% because it reflects the precise calculation of the active ingredients from both ointments combined. All other options fail to represent the actual concentration derived from the specific weights and strengths of the two ointments used in the mixture.