Ok, here is the equation, tell me why it does not work? 3 guys go to a Hotel to rent a room. Clerk says its 30 bucks. Each guy gives the clerk 10 bucks [ 10x3=30 ] They go to room. Clerk finds his mistake and calls bellboy over. Tells bellboy, I overcharged these guys 5 dollars. Room is only 25 dollars. Take this 5 dollars to them. Ok, says bellboy and goes to guys room. After they answer door he explains they were over charged 5 dollars. [ 25 + 5 =30 ] Ok, say the guys, give us each back one dollar, and keep 2 for a tip to make it work out. [ 1+1+1+2=5 ] Bellboy does that and leaves with his 2 dollar tip. WTF math is happening. 25 + 5 =30 right? right. OK, now the 3 guys starting out paying 10 dollars each. They now each get back one dollar. [ 10 -1 = 9 ] Now they have only paid 9 dollars each and the bellboy got a 2 dollar tip. 3 x 9 =27 plus the 2 the bellboy got = 29 dollars. WTF ? They started out with paying 30 dollars. If the math works one way, then why not the other? Imagine if this is a business transaction and the numbers are millions. Who gets the missing dollar?
Haha, why are you adding 2 to the 27 when instead you're supposed to subtract the 2 from the 27 (27-2), it then becomes 25, which is the real room value
simple mistake.. subtract the 2 not add it.. but the way you have put it.. stumped me for a bit its only coz deutsched said subtracting it.. then i realised
actually saying that though.. if they started paying 30 dollars.. where has the extra one gone.. i agree.. hes done the right thing by adding the 2 not subtracting it.. and there still is a dollar missing
the goverment get the dollar for tax , in the story is the hotel owner get the miss dollar . thats how the bussiness work.
No, you should subtract the 2, cause they paid 30, then they get 3 back, so they paid 27, which already includes the tips of the guy (25 for room + 2 tips = 27)
In the beginning they each pay $10. 10 + 10 + 10 $5 is taken by mistake. That is about $1.67 taken off per person. So they should have paid about $8.33 per person. 8.33 + 8.33 + 8.33 That totals $25. They are then given $1 back each, and $2 is given to the bellboy. 8.33 + 8.33 + 8.33 + 1 + 1 + 1 +2 = 30. That wasn't so hard was it?
thats not the story though wulkanen.. coz they dont pay 8.33 .. they pay 9 each.. if they was to pay 8.33 then it would be as simple as your saying but they dont pay that..
Solving the problem practically 1. Get a paper. 2. Get a scissor. 3. Cut the paper in 30 pieces. 4. Put all pieces in 1 place. 5. Take out 5 pieces (the $5). 6. Put back 3 pieces (the $3 returned). Now you see that all the 30 pieces (dollars) are there. $28 are given to the ones who paid, $2 are given to the bellboy. 7. Now sort the 28 pieces in to 3 stacks. 8. You will notice that you will have 1 piece too many (hence the missing dollar that is equal to 0.333 in the math problem) So, $28/3 is not going to give you a integers. It's going to give you $9.333. Meaning that there is 0.333*3 = $1 that could not be split among all 3 persons. I hope you understand now. Feel free to repeat the solution yourself to verify that it's true. =)
And this, this 0.33, causing the whole trouble which is not literally paid to anyone. I must say that sometimes math makes me nuts.