Maths Question - where's the quid gone ?
25 January 2004, 04:15 PM
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3 People book into a hotel room, #1 (3 single bed room) @ a cost of £30, they all pay the receptionist £10 each and make their way up too the room.
The hotel owner checks the bookings later that night, and realises that room #1 only carries a charge of £25, so he gives the bell boy 5 pound coins and asks the boy too go and pass on the refund to the three people in room #1.
As the bell boy is walking upstairs he can't work out how to split the 5 pound coins into 3, so he gives the people a pound coin each,explains they were slightly overcharged, pockets the other 2 pound coins and hopes they will be none the wiser, so long as the hotel owner never speaks to them.
This means they have in effect paid £9 each, but 3 x £9 = £27, the bell boy has £2, so where is the other pound??
If the room was £25, they should have paid £8.33 each.
They in effect overpaid by £1.67, when they all paid £10 each in the first place. The bell boy gave them £1 back,each which leaves them all due a 67p refund. 3 x 67p = £2.
This add's up when you work the maths out, but when you look @ the first part of the problem 3 x £9 = £27, bell boy has £2 in his pocket, WHERE has the other pound gone?
This is causing a lot of arguments @ work, can anyone offer any suggestions??
The hotel owner checks the bookings later that night, and realises that room #1 only carries a charge of £25, so he gives the bell boy 5 pound coins and asks the boy too go and pass on the refund to the three people in room #1.
As the bell boy is walking upstairs he can't work out how to split the 5 pound coins into 3, so he gives the people a pound coin each,explains they were slightly overcharged, pockets the other 2 pound coins and hopes they will be none the wiser, so long as the hotel owner never speaks to them.
This means they have in effect paid £9 each, but 3 x £9 = £27, the bell boy has £2, so where is the other pound??
If the room was £25, they should have paid £8.33 each.
They in effect overpaid by £1.67, when they all paid £10 each in the first place. The bell boy gave them £1 back,each which leaves them all due a 67p refund. 3 x 67p = £2.
This add's up when you work the maths out, but when you look @ the first part of the problem 3 x £9 = £27, bell boy has £2 in his pocket, WHERE has the other pound gone?
This is causing a lot of arguments @ work, can anyone offer any suggestions??
25 January 2004, 04:20 PM
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they haven't paid £9 each.
they have paid £25, the remaining £5 is split to give each guest £1 (i.e. £3 in total), and the bell hop £2, adding up to the original £30.
they have paid £25, the remaining £5 is split to give each guest £1 (i.e. £3 in total), and the bell hop £2, adding up to the original £30.
25 January 2004, 04:21 PM
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The answer is that they've now actually paid £9 each, which is £25 for the room plus £2 for the bell boy - total £27.
Adding the £2 to the £27 to give £29 is meaningless - it's the actual cost of the room plus twice the bell boy's money. Another way to think about it is that they've paid £30 for the room plus £2 for the bell boy (total £32), but got back £5 - which still leaves the correct total of £27 actually paid out.
Adding the £2 to the £27 to give £29 is meaningless - it's the actual cost of the room plus twice the bell boy's money. Another way to think about it is that they've paid £30 for the room plus £2 for the bell boy (total £32), but got back £5 - which still leaves the correct total of £27 actually paid out.
25 January 2004, 07:01 PM
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This came from a lad in Oz, so I guess it's just got to them down under, and he thought he'd send it to Blighty thinking it was new?
Anyway, it is obvious when you look at it again after your answers. I'll pass on the answers tomorrow, it will stop two of the lads coming to blows (maths isn't their, or my strong point come to think of it).
I'm not very clever, but I can lift heavy things!
Anyway, it is obvious when you look at it again after your answers. I'll pass on the answers tomorrow, it will stop two of the lads coming to blows (maths isn't their, or my strong point come to think of it).
I'm not very clever, but I can lift heavy things!
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