SOLUTION: The difference of a number and one-fourth of the same number is 21. Find the number

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Question 1161741: The difference of a number and one-fourth of the same number is 21. Find the number
Found 2 solutions by greenestamps, Edwin McCravy:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The difference between "a number" and "one-fourth of the same number" is "three-fourths of the same number".

Since that difference is 21,

%283%2F4%29x+=+21
%284%2F3%29%283%2F4%29x+=+%284%2F3%29%2821%29
x+=+28

The number is 28.

If you need to be formal with the first step of the solution, then...

Let x = the number

Then
x+-+%281%2F4%29x+=+21
%283%2F4%29x+=+21

Then proceed as above.

Answer by Edwin McCravy(20059) About Me  (Show Source):