
A classic riddle
This little riddle is written by the Indian mathematician Bhaskara(11141185), in his book Lilivati.
Originally he wrote it to give his keep his daughter occupied with(rather than an unhealthy loveaffair)
Out of a flock of geese, ten times the squareroot [of the total] went to the Manasa lake when a cloud approached,
oneeighth went to a forest filled with hibiscus,
and three couples were seen playing in the water.
Tell me, maiden, the number of the flock.
It's not perhaps the hardest riddle, but it's a neat one. Also you can easily get stuck if you don't read it correctly, or if you try to think overlycomplex!
PS: Don't spoil the fun for everyone else by blurting out the answer. If none has understood it in a week or so, I'll post an explanation ;)

Tricky,
I keep getting fractions of geese ;)

Hehe, as I said... It looks easy, but somehow you end up crunching at it for a while! :D

The solution!
I suppose it's pretty safe to post the solution now, as it seems the (little interest that was) has died out ;)
The correct representation of this wordpuzzle in mathematics terms follows.
By making x be the number of total geese on the left side, and then putting in the word puzzle on the right we get this:
$\displaystyle
x = 10\sqrt{x} + \frac{1}{8}x + 6
$
Lets do the maths then...
$\displaystyle
10\sqrt{x} = x  \frac{x}{8}  6
$
$\displaystyle
10\sqrt{x} = \frac{7x}{8}  6
$
$\displaystyle
(10\sqrt{x})^2 = (\frac{7x}{8}  6)^2
$
$\displaystyle
100x = \frac{49}{64}x2  10 \frac{1}{2}x + 36
$
$\displaystyle
\frac{49}{64}x2  110 \frac{1}{2}x + 36 = 0
$
$\displaystyle
x = 144
$
144 geese in total ;)
There are two little tricks to this riddle.
Remember that on line 3 you have to use the correct expansion.
On line 5 you have to treat it like any other second degree polynominal.