SOLUTION: A filing cabinet contains 200 standard files. When 50 files have been stored in the cabinet, what percent of the filing cabinet is being used?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A filing cabinet contains 200 standard files. When 50 files have been stored in the cabinet, what percent of the filing cabinet is being used?      Log On


   

Question 313150: A filing cabinet contains 200 standard files. When 50 files have been stored in the cabinet, what percent of the filing cabinet is being used?
Answer by OmniMaestra(21) About Me  (Show Source):
You can put this solution on YOUR website!
Percentage problems can usually be set up as a proportion. A proportion is two equal ratios
part%2Fwhole=percent%2F100
so set the problem up, the part is 50, the whole is 200:
50%2F200=x%2F100
cross-multiply:
50%2A100+=+200x
5000+=+200x
divide by 200:
5000%2F200=200x%2F200
25=x so the answer is 25%