SOLUTION: The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces      Log On


   

Question 915481: The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third. What is the original fraction?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Fd+=+1%2F4 d = 4n
%28n%2B3%29%2F%28d-3%29+=+1%2F3
%28n%2B3%29%2F%284n-3%29+=+1%2F3
3(n+3) = 4n - 3
12 = n
12/48 the original fraction
and...checking
15/45 = 1/3