SOLUTION: a wire is cut into three sections so that the first section is three times as long as the second and the second section is three times as long as the third. What part of the entire

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a wire is cut into three sections so that the first section is three times as long as the second and the second section is three times as long as the third. What part of the entire      Log On


   

Question 1190830: a wire is cut into three sections so that the first section is three times as long as the second and the second section is three times as long as the third. What part of the entire piece is the smallest section?
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
a wire is cut into three sections so that the first section
is three times as long as the second and the second section is
three times as long as the third. What part of the entire piece is the smallest section?
~~~~~~~~~~~~~~~~ 

 x = the length of the third  section;

3x = the length of the second section;

9x = the length of the first section.


The entire piece is  x + 3x + 9x = 13x.


The smallest section is this ratio  x%2F%2813x%29 = 1%2F13   of the entire piece.    ANSWER

Solved.