SOLUTION: 87 is divided into three parts in the ratio of 1:2/3:3/4. Find the value of the smallest part. Thanks for your help.

Algebra ->  Equations -> SOLUTION: 87 is divided into three parts in the ratio of 1:2/3:3/4. Find the value of the smallest part. Thanks for your help.      Log On


   

Question 988602: 87 is divided into three parts in the ratio of 1:2/3:3/4. Find the value of the smallest part. Thanks for your help.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the greatest of the 3 parts is x , the parts are
x , %282%2F3%29x , and %283%2F4%29x , and
x%2B%282%2F3%29x%2B%283%2F4%29x=87<-->%281%2B2%2F3%2B3%2F4%29x=87 is our equation.

%281%2B2%2F3%2B3%2F4%29x=87<-->%2812%2F12%2B8%2F12%2B9%2F12%29x=87<-->%2829%2F12%29x=87
Multiplying both sides of the equal sign times 12%2F29 ,
or dividing both sides by 29%2F12 (same thing), we get
%2812%2F29%29%2A%2829%2F12%29x=%2812%2F29%29%2A87-->x=%2812%2F29%29%2A%283%2A29%29-->x=12%2A3%2A29%2F29-->x=12%2A3-->x=36 .
The other two parts 87 was divided into are
%283%2F4%29x=%283%2F4%2936=27 , and
%282%2F3%29x=%282%2F3%2936=highlight%2824%29 .