SOLUTION: Mr Kakololo accumulated a number of shares. He sold 1\5 of his shares to his brother, 1\3 to his cousin and 5 340 which is 2\15 of the original number of shares to his best friend,

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mr Kakololo accumulated a number of shares. He sold 1\5 of his shares to his brother, 1\3 to his cousin and 5 340 which is 2\15 of the original number of shares to his best friend,      Log On


   

Question 132926: Mr Kakololo accumulated a number of shares. He sold 1\5 of his shares to his brother, 1\3 to his cousin and 5 340 which is 2\15 of the original number of shares to his best friend, Lucas.
1. What fraction of shares remained with Mr. Kakololo?
2. How many shares did Mr. Kakololo sell in total?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
5,340 share is 2/15 of the original number of shares
x= original number of shares
5340+=+%282%2F15%29%2Ax
x+=+%2815%2F2%29%2A5340
x+=+40050
s = Mr. K's share
1%2F5+%2B+1%2F3+%2B+2%2F15+%2B+s+=+1
3%2F15+%2B+5%2F15+%2B+2%2F15+%2B+s+=+15%2F15
multiply both sides by 15
3+%2B+5+%2B+2+%2B+15s+=+15
15s+=+5
s+=+1%2F3 His share
He sold 40050+-+%281%2F3%29%2A40050+=+%282%2F3%29%2A40050
%282%2F3%29%2A40050+=+26700
He sold 26,700 shares