A premier Film and Performing Arts school has a total class strength o...
Step 1: Question statement and Inferences
We are given that in a certain school, there are a total of 770 students. Let’s say the number of male students is x and the number of female students is y. So,
x + y = 770 …………… (1)
The number of male students in acting courses = 2x/3
The number of male students in other courses = x/3
The number of female students in acting courses = 3y/4
The number of female students in other courses = y/4
Thus,
The total number of students in acting courses =
And, the total number of students in other courses=
It is also given that, If there were 55 less female students who opted for other courses, then the number of male students who opted for other courses will be twice that of the female students who opted for other courses. So,
Step 2: Finding required values
Adding equations (1) and (4), we get y = 440 from which we can calculate x = 330.
Step 3: Calculating the final answer
Now, from equation (2),
The total number of students in acting courses
Correct choice : D