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In a certain department, 15% of the females and 25% of the males are working on a project. 60% of the department is female.What percentage of the department is working on the project?

Question

In a certain department, 15% of the females and 25% of the males are working on a project. 60% of the department is female.What percentage of the department is working on the project?

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Solution

To solve this problem, we need to consider the percentage of males and females in the department and the percentage of each working on the project.

  1. First, we know that 60% of the department is female. Therefore, the remaining 40% must be male.

  2. Next, we know that 15% of the females are working on the project. To find out what percentage of the total department this represents, we multiply the percentage of females by the percentage of those females working on the project: 0.60 (60% females) * 0.15 (15% of females working on the project) = 0.09 or 9%.

  3. Similarly, we know that 25% of the males are working on the project. To find out what percentage of the total department this represents, we multiply the percentage of males by the percentage of those males working on the project: 0.40 (40% males) * 0.25 (25% of males working on the project) = 0.10 or 10%.

  4. Finally, to find out the total percentage of the department working on the project, we add the percentages we calculated for the females and males: 9% + 10% = 19%.

So, 19% of the department is working on the project.

This problem has been solved

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