There are some students (male + female) in Class A and Class B in CCA School. In class A, females are 30% of total students of class A. In class B, number of male and female students are equal and male students in class B are thrice the number of female students of Class A.If 10% of male students and 20% of female students from Class A left the school and male and female students in class B increased by 25% and 30% respectively, then total male students of Class A and B together are what percent of total students of Class A and B together?
Question
There are some students (male + female) in Class A and Class B in CCA School. In class A, females are 30% of total students of class A. In class B, number of male and female students are equal and male students in class B are thrice the number of female students of Class A.If 10% of male students and 20% of female students from Class A left the school and male and female students in class B increased by 25% and 30% respectively, then total male students of Class A and B together are what percent of total students of Class A and B together?
Solution
To solve this problem, let's break it down step by step:
Step 1: Determine the number of female students in Class A. Given that females are 30% of the total students in Class A, we can calculate the number of female students by multiplying the total number of students in Class A by 0.3.
Step 2: Determine the number of male students in Class B. We are told that the number of male and female students in Class B is equal, and the number of male students in Class B is three times the number of female students in Class A. Therefore, the number of male students in Class B is three times the number of female students in Class A.
Step 3: Calculate the number of male students in Class A. Since the number of male students in Class B is three times the number of female students in Class A, we can calculate the number of male students in Class A by dividing the number of male students in Class B by three.
Step 4: Calculate the total number of male students in Class A and B together. To find the total number of male students in Class A and B together, we add the number of male students in Class A and the number of male students in Class B.
Step 5: Calculate the total number of students in Class A and B together. To find the total number of students in Class A and B together, we add the total number of male students in Class A and B to the total number of female students in Class A and B.
Step 6: Calculate the percentage of total male students in Class A and B together. To find the percentage of total male students in Class A and B together, we divide the total number of male students in Class A and B by the total number of students in Class A and B together and multiply by 100.
By following these steps, we can determine the percentage of total male students in Class A and B together.
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