SOLUTION: we have been working on this problem but cannot figure it out... The ratio of the numerator to the denominator of a fraction is 1 to 3. If the numerator is increased by 4 and t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: we have been working on this problem but cannot figure it out... The ratio of the numerator to the denominator of a fraction is 1 to 3. If the numerator is increased by 4 and t      Log On


   



Question 11516: we have been working on this problem but cannot figure it out...
The ratio of the numerator to the denominator of a fraction is 1 to 3. If the numerator is increased by 4 and the denominator is decreased by 3, the fraction becomes 1/2. Find the original fraction.
Please help us to figure out the appropriate solution and how to get there!
Thank you in advance for your help!

Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Let the Numerator = X
Then denominator= 3X
Now numerator is increased by 4 =>Numerator = X+4
Denominator = 3X-3
(X+4)/(3X-3) = 1/2
2X+8 = 3X-3
X = 11
3X = 33
So your fraction is 1/3
Check:
11+4/33-3 = 15/30 = 1/2 Yay!!!