SOLUTION: A professor gave his report on the grades of the last test in the following manner: One fifth made A's, one fourth made B's, one third made C's, one sixth made D's and 12 made F's.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A professor gave his report on the grades of the last test in the following manner: One fifth made A's, one fourth made B's, one third made C's, one sixth made D's and 12 made F's.      Log On


   

Question 178659: A professor gave his report on the grades of the last test in the following manner: One fifth made A's, one fourth made B's, one third made C's, one sixth made D's and 12 made F's. How many students are in the class?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of students in class
:
%28x%2F5%29%2B%28x%2F4%29%2B%28x%2F3%29%2B%28x%2F6%29%2B12=x
:
%2812x%2F60%29%2B%2815x%2F60%29%2B%2820x%2F60%29%2B%2810x%2F60%29%2B12=x
:
57x%2F60%2B12=x
:
3x%2F60=12
:
3x=720
:
highlight%28x=240%29students in the class