SOLUTION: Suhami Chadhuri has a four-ninths interest in a partnership. She sold three-elevenths of her interest for ​$2600. ​(a) What was the total amount of Ms.​ Chadhuri's interes

Algebra ->  Proportions  -> Lessons -> SOLUTION: Suhami Chadhuri has a four-ninths interest in a partnership. She sold three-elevenths of her interest for ​$2600. ​(a) What was the total amount of Ms.​ Chadhuri's interes      Log On


   

Question 1135354: Suhami Chadhuri has a four-ninths interest in a partnership. She sold
three-elevenths of her interest for ​$2600.
​(a) What was the total amount of Ms.​ Chadhuri's interest before​ selling?
​(b) What is the value of the​ partnership?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the value of the partnership
(a)
+%283%2F11%29%2A%284%2F9%29%2Ax+=+2600+
+%284%2F9%29%2Ax+=+%2811%2F3%29%2A2600+
+%284%2F9%29%2Ax+=+9533.33+
$9,533.33
-------------------------
(b)
++%284%2F9%29%2Ax+=+9533.33+
+x+=+%289%2F4%29%2A9533.33+
+x+=+21449.99+
$21,450
-------------------------
check:
+x+=+%2811%2F3%29%2A%289%2F4%29%2A2600+
+21450+=+%2899%2F12%29%2A2600+
+21450+=+21450+
OK