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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 cours

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A premier Film and Performing Arts school has a total class strength o...
Solution

let M be total male and F total female in the class

so M+F = 770

male ,female opted for acting

2/3 M and 3/4 F . hence , male female opted for other course

1/3 M and 1/4 F

as per condition given in question

2(1/4 F - 55)= 1/3 M

solving the equation 3F - 2M = 660

and we already have M + F = 770

thus two variables and two linear equations on solving

M = 330 and F = 440

so students opted for acting 2/3(330) + 3/4(440) = 550

confirming the condition given in question

2(1/4 * 440 - 55) = 1/3 * 330

55 = 55.
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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 cours?
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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 cours? 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 cours? 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 cours?.
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