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A premier Film and Performing Arts school has a total class strength of 770. Two-third of the male students and three-fourth of the female students have opted for acting courses. The remaining students have opted for other courses. If the number of female students who opted for other courses was 55 less, then there would be 2 male students who opted for other courses for every female student who opted for other courses. How many students have opted for the acting courses?
  • a)
    220
  • b)
    330
  • c)
    440
  • d)
    550
  • e)
    600
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
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
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Most Upvoted Answer
A premier Film and Performing Arts school has a total class strength o...
Understanding the Question:
In order to solve this problem, we need to determine the number of students who have opted for acting courses at the premier Film and Performing Arts school.

Given Information:
Total class strength = 770
Two-third of male students opted for acting courses
Three-fourth of female students opted for acting courses
Number of female students who opted for other courses is 55 less than if there were 2 male students for every female student who opted for other courses

Solving the Problem:
Let's denote the number of male students as 'm' and the number of female students as 'f'.
According to the given information, we have the following equations:
m + f = 770
(2/3)m + (1/4)f = Total number of students opting for acting courses
m - 2f = 55

Solving the Equations:
From the first equation, we get: m = 770 - f
Substitute m in the third equation: 770 - f - 2f = 55
Solving this, we get: f = 330
Substitute f in the first equation: m + 330 = 770
Solving this, we get: m = 440

Calculating the Number of Students Opting for Acting Courses:
Number of male students opting for acting courses = (2/3) * 440 = 293.33 (approx. 293)
Number of female students opting for acting courses = (3/4) * 330 = 247.5 (approx. 248)
Total number of students opting for acting courses = 293 + 248 = 541
Therefore, the correct answer is option D) 550.
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Community Answer
A premier Film and Performing Arts school has a total class strength o...
770-170=600
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A premier Film and Performing Arts school has a total class strength of 770. Two-third of the male students and three-fourth of the female students have opted for acting courses. The remaining students have opted for other courses. If the number of female students who opted for other courses was 55 less, then there would be 2 male students who opted for other courses for every female student who opted for other courses.How many students have opted for the acting courses?a)220b)330c)440d)550e)600Correct answer is option 'D'. Can you explain this answer?
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A premier Film and Performing Arts school has a total class strength of 770. Two-third of the male students and three-fourth of the female students have opted for acting courses. The remaining students have opted for other courses. If the number of female students who opted for other courses was 55 less, then there would be 2 male students who opted for other courses for every female student who opted for other courses.How many students have opted for the acting courses?a)220b)330c)440d)550e)600Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A premier Film and Performing Arts school has a total class strength of 770. Two-third of the male students and three-fourth of the female students have opted for acting courses. The remaining students have opted for other courses. If the number of female students who opted for other courses was 55 less, then there would be 2 male students who opted for other courses for every female student who opted for other courses.How many students have opted for the acting courses?a)220b)330c)440d)550e)600Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A premier Film and Performing Arts school has a total class strength of 770. Two-third of the male students and three-fourth of the female students have opted for acting courses. The remaining students have opted for other courses. If the number of female students who opted for other courses was 55 less, then there would be 2 male students who opted for other courses for every female student who opted for other courses.How many students have opted for the acting courses?a)220b)330c)440d)550e)600Correct answer is option 'D'. Can you explain this answer?.
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