The ratio of men to women is 3:5. In a test, 1/3 of the men and 2/3 of the women failed the test. If 50 student past the test how many student are offering the course.

Answer 1

2/3 of 3/8 of the class passed the test among males

1/3 of of 5/8 of the class passed the test among females

(2/3)(3/8) = 1/4 of the class are males who passed

(1/3)(5/8) = 5/24 of the class are females who passed

50 = (1/4)C + (5/24)C = (11/24)C

C= (24/11)(50) = 1200/11 = about 109 total students in the class