[i]Three guests check into a hotel. The clerk says the bill is $30 so each pays $10. Later the clerk realizes the bill should only be $25. To rectify he gives the bellhop five dollars to return to the guests. On the way back to the room the bellhop realizes that he cannot divide the money evenly. As they didn?t know the total of the revised bill, he decides to give each guest a dollar and keep two for himself.
Now that the guests have been given a dollar back, each has paid $9. 3 x 9 = 27 and the bellhop has $2. 2 + 27 = 29. If the guests originally handed over $30, what happened to the remaining dollar?[/i]
[i]Three guests check into a hotel. The clerk says the bill is $30 so each pays $10. Later the clerk realizes the bill should only be $25. To rectify he gives the bellhop five dollars to return to the guests. On the way back to the room the bellhop realizes that he cannot divide the money evenly. As they didn?t know the total of the revised bill, he decides to give each guest a dollar and keep two for himself.
Now that the guests have been given a dollar back, each has paid $9. 3 x 9 = 27 and the bellhop has $2. 2 + 27 = 29. If the guests originally handed over $30, what happened to the remaining dollar?[/i]
[/quote]
There is no missing dollar. The calculation of 3x9+2=29 fucked up because 27 = 25 + 2. So if you add 2 again you’re counting it twice and not counting the $3 returned to the guests at all.
the logic of the question is wrong.
as stated, if the guests paid 9 dollars each, they spent a total of 27 dollars.
adding the 2 dollars that the bellhop took to that amount is wrong because that amount is considered as part of the spent total already.
so to break it down for you:
rectified bill = $25
bell hop amount = $2
therefore, total money spent by guests = 25+2 =$27
amount given back to guests = $3
[i]Three guests check into a hotel. The clerk says the bill is $30 so each pays $10. Later the clerk realizes the bill should only be $25. To rectify he gives the bellhop five dollars to return to the guests. On the way back to the room the bellhop realizes that he cannot divide the money evenly. As they didn?t know the total of the revised bill, he decides to give each guest a dollar and keep two for himself.
Now that the guests have been given a dollar back, each has paid $9. 3 x 9 = 27 and the bellhop has $2. 2 + 27 = 29. If the guests originally handed over $30, what happened to the remaining dollar?[/i]
[/quote]
Ha, the first time I heard that it had me stumped for ages.
In a jar with 1 germ, the germ splits into two, two split into four germs , etc.
It takes ONE germ 1 hour to split so many time so that the jar is full.
How long does it take for TWO germs to fill the jar???
On a sunny day a boy asks his father how old his mother is.
His father replies:" When I first met your mother I was TWICE the age of your mother.
But the next year I was only 1.5 times as old. How about that boy?"
On a sunny day a boy asks his father how old his mother is.
His father replies:" When I first met your mother I was TWICE the age of your mother.
But the next year I was only 1.5 times as old. How about that boy?"
The father is 44
How old is his mother?
(HINT: his parents were young when they met)
[/quote]
Is the answer to your other one: 2 germs cannot fill the jar, they would have to split into more?
In a jar with 1 germ, the germ splits into two, two split into four germs , etc.
It takes ONE germ 1 hour to split so many time so that the jar is full.
How long does it take for TWO germs to fill the jar???[/quote]
[quote]Boffin wrote:
Surely the two germs would fill the jear in a little under 1 hour. There ARE two germs in the jar after the first divides for the first time.
[/quote]
I kept re-reading the question trying to figure out what was so tricky about it. You are right, just a hair under an hour. I’m guessing people probably blurt out 1/2 an hour when they hear this.
[quote]Boffin wrote:
Lancey wrote:
Erasmus wrote:
Is the answer to your other one: 2 germs cannot fill the jar, they would have to split into more?
Surely the two germs would fill the jear in a little under 1 hour. There ARE two germs in the jar after the first divides for the first time.
OR two germs will never fill the jar, 'cos there’s only two of them (unless its a very small jar!) [/quote]
The reason I asked if that was the answer is because there’s no way to work out how long it takes without either knowing the amount of time it takes for each split or how many germs are needed to fill the jar
[quote]pookie wrote:
Erasmus wrote:
I’ve got one for ya
A jar with germs
In a jar with 1 germ, the germ splits into two, two split into four germs , etc.
It takes ONE germ 1 hour to split so many time so that the jar is full.
How long does it take for TWO germs to fill the jar???
1 hour minus the time for 1 split.
[/quote]
pookie got it.
One germ:
2^(60 minutes/time for one split = t) = # of germs to fill jar