Mathematic Black Hole
Posted 08102009 at 12:57 PM by knightmare
Three guys pitch in evenly and put down $10.00 each to buy a hotel room for $30.00 total. The hotel manager realizes they should have only paid $25.00 so he decides to refund them $5.00. He gives his clerk $5.00 to give back to the guys. On his way to their room he realizes he can't evenly split $5.00 between three guys so he decides to pocket $2.00 and give each guy $1.00. So each guy has $9.00 invested in the room right? And the clerk kept $2.00 right? so basic math tells us that 9 x 3 = 27 and then 27 + 2(what the clerk kept) = 29... where is the missing dollar?
Discuss.
Discuss.
Total Comments 7
Comments

Posted 08102009 at 09:31 PM by Rebel 
If $30 was paid, and the bill was $25, that leaves $5 in change. If the clerk shorted them by $2, that would mean they paid $28. Which means they each originally paid $9.33 when they only should have paid $8.33.
So while they do in fact have $9 each invested in the room after they each got a $1 refund, that is because they were each overcharged by $.67. The 3 x $.67 is the two dollars that the clerk was able to keep.Posted 08102009 at 09:46 PM by Locutus 
Posted 08102009 at 10:47 PM by blacksheep_p
Updated 08102009 at 10:48 PM by blacksheep_p (for reasons unknown) 
Posted 08102009 at 11:59 PM by Coginator 
Posted 08112009 at 10:54 AM by Karma 
Posted 08112009 at 09:45 PM by Naga 
Thats nothing check out this algebra
a=b both sides multiplied by "a"
a^2=ab add a^2 to both sides
2a^2=a^2+ab subtract 2ab from both sides
2a^22ab=a^2ab
Now, mathematical laws tell us we can use the distributive property to factor out the 1 and 2 from both sides so we get this
2(a^2ab)=1(a^2ab)
Now we can divide both sides by (a^2ab) and we get
2=1
How did I do it?Posted 08112009 at 09:50 PM by Trojan