You see the following special offer by the convenience store:
” A bottle of Choco Cola for every 3 empty bottles returned “
Now you decide to buy some (say N) bottles of cola from the store. You would like to know how you can get the most cola from them.
The figure below shows the case where N = 8. Method 1 is the standard way: after finishing your 8 bottles of cola, you have 8 empty bottles. Take 6 of them and you get 2 new bottles of cola. Now after drinking them you have 4 empty bottles, so you take 3 of them to get yet another new cola. Finally, you have only 2 bottles in hand, so you cannot get new cola any more. Hence, you have enjoyed 8 + 2 + 1 = 11 bottles of cola.
You can actually do better! In Method 2, you first borrow an empty bottle from your friend (?! Or the storekeeper??), then you can enjoy 8 + 3 + 1 = 12 bottles of cola! Of course, you will have to return your remaining empty bottle back to your friend.
what is the maximum number of bottles of cola you can enjoy if you started with 153 bottle?
Note: Drinking too much cola is bad for your health, so… don’t try this at home!! 
5olio Said:
on June 20, 2009 at 1:55 am
229
Sara Ebrahim Said:
on June 20, 2009 at 9:14 am
#filled bottles – #empty bottles
153
51
17
5-2 fadyen
2-1 fadya
1
total: 153+51+17+5+2+1= 229 bottle
TeCNoYoTTa Said:
on June 20, 2009 at 9:29 am
229
…..ta3la eshrabhom ma3ia ba2a 
Rana Said:
on June 20, 2009 at 12:42 pm
By Method2:
51+17+6+2+1=79
Mohamed AbdElMonem Said:
on June 21, 2009 at 1:01 am
@ Rana , check your answer again
Rana Said:
on June 21, 2009 at 1:26 pm
eman_elmaged Said:
on June 21, 2009 at 1:58 pm
i think it’s 230 ?!
Aya Magdy Said:
on June 21, 2009 at 3:23 pm
سلام عليكم :
انا لو استلفت زجاجتين كده هايكون الموضوع كالاتى :
-*-*-*-*-*-*-*-*-*-*-*-*-
153 +2 empty
153+3=155
empty 155
51+2_empty
53 empty
2 empty + 17
19 empty
1 empty + 6
7 empty
1 empty + 2
3 empty
1
-*-*-*-*-*-*-*-*-*-*-*-*-
153+51+17+6+2+1 = 230
marmoor1989 Said:
on June 21, 2009 at 3:52 pm
229
It’s idea is like “Peter’s Smokes”
Mohamed AbdElMonem Said:
on June 24, 2009 at 1:29 am
@ Rana , ezay hanbda2 b 153 bottle we yb2a kolo 77
@ eman_elmaged & Aya Magdy , nope : )
Rana Said:
on June 24, 2009 at 12:28 pm
momken tekon 229 bottles
marmoor1989 Said:
on June 24, 2009 at 10:21 pm
tab wana egabty sa7 wala la2a??
emad mohamed Said:
on June 25, 2009 at 5:30 pm
i think 274
Mohamed AbdElMonem Said:
on June 25, 2009 at 6:08 pm
@ emad mohamed , nope
@ marmoor1989 , you r right : )
shohanda Said:
on June 25, 2009 at 9:44 pm
224 !!!!
shohanda Said:
on June 25, 2009 at 10:12 pm
la2a hayb2a > > > 229
we hanst5dm awel tare2aa
153
51
17
5+2 empty
2+1 empty
1