If 30 g of 5% ointment is combined with 10 g of 40% ointment what is the percentage strength of the final product?

Rationale

13.80% is the percentage strength of the final product.

To find the percentage strength of the combined ointment, we calculate the total active ingredient from each ointment and then determine the percentage based on the total weight of the final mixture. The resulting calculation reveals that the final product has a strength of 13.80%.

A (1.20%) YOUR ANSWER

This percentage is far too low given the amounts of the ointments combined. The active ingredient contribution from both ointments is significant enough that they cannot result in such a low concentration.

B (5.50%) YOUR ANSWER

While this value is closer than 1.20%, it still underestimates the total active ingredient provided by the 40% ointment. The final percentage must be higher since both ointments contribute active ingredients that combine effectively.

C (13.80%) CORRECT

Calculating the active ingredients: from the 30 g of 5% ointment, there are 1.5 g of active ingredient (30 g * 0.05), and from the 10 g of 40% ointment, there are 4 g of active ingredient (10 g * 0.40). The total active ingredient is 5.5 g (1.5 g + 4 g) in a total of 40 g of mixture (30 g + 10 g). Therefore, the percentage strength is (5.5 g / 40 g) * 100 = 13.75%, rounded to 13.80%.

D (18.00%) YOUR ANSWER

This percentage overestimates the concentration of the active ingredient in the final product. Given the contributions from both ointments, it is impossible for the combined strength to reach this value, as the total amount of active ingredient does not support such a high concentration.

Conclusion

The calculation of the percentage strength of a mixture requires a careful assessment of the contributions from each component. In this case, combining a 5% ointment with a 40% ointment yields a final strength of 13.80%, accurately reflecting the combined active ingredients relative to the total weight of the mixture. Understanding how to calculate these concentrations is crucial in pharmaceutical applications to ensure proper dosage and efficacy.

If 30 g of 5% ointment is combined with 10 g of 40% ointment what is the percentage strength of the final product?

13.80% is the percentage strength of the final product.

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