are there any mathematical geniuses out there, anyone good at riddles, i need to sleep?

Question

On talk sport this morning they gave a mathematical riddle
Three men enter a motel only to be told that there's only one room left, by the young girl at reception, they are shattered so they agree to share, they ask how much it will be and are told £30, great they say that's £10 each. When the manager gets back the girl tells him she's let the room, only for him to tell her, she'd made a mistake and the room only costs £25. At this the girl takes £5 in £1 coins up to the room, the girl apologises and tells the men they can have the money back, because it's an odd amount, they say they'll have a £1 back each and the girl can have the remaining £2. this means that they have paid £9 each. So whats happened to the other £1?

i.e. 3x£9 =£27 remainer £3, but the girls only holding £2.

Answer 1

it's a trick question, actually. the girl is holding two, yes, but it's not 27 paid PLUS two, it's twenty seven MINUS two to get 25, the actual amount paid. In other words, the question rellies on the fact that you'll hone in on 30 dollars as the amount paid, when its not. if you're trying to add up to thirty, its 9*3 to get 27, plus the three dollars the hotel gave back and the two dollars the girl holds in her hands comes out of the 27 paid (since the hotel certainly didnt tip her for such a screw-up)

Answer 2

this is a cleverly worded question, designed to make you add the wrong numbers together. It gets you to add real money to money that has been paid, which doesn't make sense.
Follow the actual cash.
Think about the £30 in the till, £5 is removed, £3 given back to the men and the girl gets £2. So at the end £25 in till, £3 with the men and £2 with the girl, which is £30.
It's not the difference between £27 and the £30 they paid, it's the difference between the £25 the room cost and the £2 the girl got.

Answer 3

It's how its worded. The trick is to realise that the £27 includes the £2 that the girl has took (£25 for the room and £2 for the girl), which leaves £3 which the men share at £1 each.

P.S. A Mathematical Genius is somebody like Gauss, Euler or Newton. Somebody who can explain this straight forward problem only needs GCSE.

Answer 4

hotel gets £25 of the £30,

and give back the £5

the guys paid £30 but get back one pound each, leaving £2. there is no missing pound. the remainder £2 is the tip.

or think of this way 3x£9 is £27 but the room only cost £25 (£27-£25) leaving the £2 the tip.

Answer 5

The remainder 3 is the money refunded back to the 3 men.they each get a pound back. they then gave 2 pounds to the girl. if you do 3 x 9 =27. they paid £25 total. so remainder from the 27 equals 2, which the girl was given.

Answer 6

Let's just say :

the three paid out £10 each ---- 3x10 = £30
the girl gives back --------------- 5 x 1 = £5
Total paid for room ------------------------ = £25

Of the £5
the three take £1 each ------------ 3x1 = £3
the girl is given --------------------- 2x1 = £2

The total paid to the ' hotel ' is £27 of which
the room costs £25
the girl gets £2

There is no spare £1, as explained by some others.
In effect, one of the three has paid £1 extra on the room while the other two contributed £1 each to the girl - this evens things out nicely with all three paying £9 each!

Answer 7

they would get charged as a rounded figure. or 3 would techically be paying 8.3333333. but if you times that by 3 you would get 25. but you cant get that amount in british money so maby try giving the 5 to them and they can fight between them
its hard to exactly share an even abount of money with an uneven amount of people. its easyer to have three people putting the money together and two people buying somthing for 2.50 and sharing it.
also try booking them as different people to the same room so they would pay 25 pound put togther
maybe thats why she made the mistake of charging 30 and she should have asked her supervisor.

Answer 8

The math works just fine...
3X10=30 minus 3 (one per person) = 27...
3X9=27 minus the girls 2 = 25

Answer 9

i imagine it relies upon on the way you outline "mathematical genius" it quite is more desirable of a subjective definition. that is more desirable purpose to apply the time period "mathematically proficient" which sounds very very resembling the outline of this youngster. This youngster fairly looks to care about the which technique of the technology in the back of mathematics and would invent some staggering issues in the destiny. Sound like an exceedingly stunning youngster! i might want to call him a math genius, why no longer?

Answer 10

Simple. They have paid 9.33 each, not 9.00. 25/3 is 8.33, plus the pound they get back each is 9.33, multiplied by 3 is 28 plus the two pounds equals 30 pounds.