SOLUTION: A rope is √(250) units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ration 2:3. What is the length of the longer piece expressed in sim

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A rope is √(250) units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ration 2:3. What is the length of the longer piece expressed in sim      Log On


   

Question 394666: A rope is √(250) units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ration 2:3. What is the length of the longer piece expressed in simplest radical form?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
the ratio of the largest part to the whole is 3%2F5
x%2Fsqrt%28250%29+=+3%2F5
x+=+%283%2F5%29%2Asqrt%28250%29
x+=+%283%2F5%29%2A5%2Asqrt%2810%29
x+=+3%2Asqrt%2810%29 answer