Carefully analyze the given details and answer the question that follows.
There are three branches (Branch A, Branch B, and Branch C) in enterprise K. The ratio of male to female employees in Branch A is 7:10. The number of female employees in Branch C is 20% more than the number of female employees in Branch A. The number of male employees in Branch C is six more than that of female employees in Branch C. The average number of male employees across all three branches is 39 and the number of male employees in Branch B is 35. The number of female employees in Branch B is 25% more than the number of female employees in Branch C.
Carefully study the details provided below and answer the following question.
There are three branches (Branch A, Branch B, and Branch C) in enterprise K. The ratio of male to female employees in Branch A is 7:10. The number of female employees in Branch C is 20% more than the number of female employees in Branch A. The number of male employees in Branch C is six more than that of female employees in Branch C. The average number of male employees across all three branches is 39 and the number of male employees in Branch B is 35. The number of female employees in Branch B is 25% more than the number of female employees in Branch C.
Determine the ratio of the number of male employees in Branch A to the number of female employees in Branch C.
Correct Answer :
7:12
Solution :
The correct option is 7:12.
Step 1: Define variables for Branch A.
Given that the ratio of male to female employees in Branch A is 7:10, let:
Number of male employees in Branch A =
Number of female employees in Branch A =
Step 2: Find the number of employees in Branch C.
The number of female employees in Branch C is 20% more than in Branch A:
The number of male employees in Branch C is six more than female employees in Branch C:
Step 3: Determine the value of using total male employees.
Given:
Number of male employees in Branch B = 35
Average number of male employees across all three branches = 39
Therefore, total male employees across all three branches:
Now, set up the equation for the total number of male employees across Branch A, Branch B, and Branch C:
Step 4: Calculate the required employee counts.
Number of male employees in Branch A:
Number of female employees in Branch C:
Step 5: Find the required ratio.
The ratio of male employees in Branch A to female employees in Branch C is:
Dividing both terms by 4:
Thus, the required ratio is 7:12.
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