Got milk?

If four empty milk bottles can be exchanged for one full milk bottle, how much milk can I drink if I have 24 empty milk bottles?

If four empty milk bottles can be exchanged for one full milk bottle, how much milk can I drink if I have 24 empty milk bottles?
June 30th, 2009 at 12:34 am
Not enough information. The 4:1 ratio = 24:6 of course but this does not mean you can necessarily drink all of that.
June 30th, 2009 at 12:35 am
Another answer to this is “none” since you can’t drink any milk from an empty milk bottle.
June 30th, 2009 at 12:56 am
Redeem the 24 empties for 6 full ones, chug a lug (or make ice cream), exchange 4 of those empties for a full one, drink some more (or make yogurt), and sit there with your three empties. Tell the wife to buy a bottle of milk on the way home, and explain to her how 25 empties can be traded for 8 full bottles of milk.
June 30th, 2009 at 4:31 am
Never mind the milk. See if you can exchange the empties for beer instead…
June 30th, 2009 at 4:56 am
ahhh dang it Mike that’s the answer. I was trying to figure out what obvious twist I was missing.
June 30th, 2009 at 12:18 pm
If you’re allowed to borrow an empty bottle for a little while…
June 30th, 2009 at 12:34 pm
GB: I think that can be arranged.
June 30th, 2009 at 11:12 pm
Assuming he starts with 24 empties he didn’t drink, the first trade gets him six bottles of milk. He drinks four and trades those empties in for another bottle of milk which means he can drink seven bottles of milk with three empties remaining.
July 3rd, 2009 at 9:08 pm
So, 7 then.
But if you were to increase your initial investment by 4% (scrounge for a 25th empty bottle). You return increases by 14%, since you’ll have drank 8 bottles instead of 7. Now, if only we can turn this into a Ponzi scheme.
July 7th, 2009 at 2:59 am
He can get 8 bottles of milk, as long as he drinks (or otherwise empties) the last one in the store, to go with the three spares. The borrowed fourth bottle to make the eighth exchange never needs to leave the store!