SOLUTION: If the numerator of a fraction is increased by 200% and denominator is increased by 300%, the resultant fraction is 15/26. What is the original fraction ?
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: If the numerator of a fraction is increased by 200% and denominator is increased by 300%, the resultant fraction is 15/26. What is the original fraction ?
Log On
Question 452278: If the numerator of a fraction is increased by 200% and denominator is increased by 300%, the resultant fraction is 15/26. What is the original fraction ? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If the numerator of a fraction is increased by 200% and denominator is increased by 300%, the resultant fraction is 15/26. What is the original fraction ?
-----
Let the original fraction be x/y:
---
New fraction
(x+2x)/(y+3y) = 15/26
----
(3x)/(4y) = 15/26
x/(4y) = 5/26
---
x = 5
4y = 26
y = 13/2
----------------
x/y = 5/(13/2) = 10/13
==========================
Cheers,
Stan H.