Problema Solution

The ratio of male students to female students at a certain university is 11 to 16. If there is a total of 32,400 students, find the number of male students and the number of female students.

Answer provided by our tutors

Let


m = the number of male students


f = the number of female students


The ratio of male students to female students at a certain university is 11 to 16:


m : f = 11 : 16 cross-multiply


16m = 11f


There is a total of 32,400 students:


m + f = 32400


by solving the system of equations:


16m = 11f


m + f = 32400


we find:


f = 19,200 female stundets


m = 13,200 male students


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There are 19,200 female students and 13,200 male students.