SOLUTION: ((1)/(5)-x):x=(1)/(3):(1)/(6)

Algebra ->  Proportions  -> Lessons -> SOLUTION: ((1)/(5)-x):x=(1)/(3):(1)/(6)      Log On


   

Question 348628: ((1)/(5)-x):x=(1)/(3):(1)/(6)
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
If I am understanding your question properly:
((1)/(5)-x):x=(1)/(3):(1)/(6)
.
Write ratio given as follows:
%28%281%2F5%29-x%29%2Fx=%281%2F3%29%2F%281%2F6%29
.
simplify left side of the equation (multiply numerator and denomminator by 6)
%28%281%2F5%29-x%29%2Fx=%282%2F1%29
.
Cross multiply to solve:
2x=+%281%2F5%29-x%29
10x=+%281-5x%29
15x=+1
x = 1/15