When the airline ticket attendant asked Mr Obtuse how many tickets he and his family would need, he responded "well, let's see. We have 2 grandfathers, 3 fathers (with their sons), 3 cousins, a pair of twins, an uncle, a nephew, a niece and an aunt. Yup, that's the entire living family. Oh, and Auntie is, um, well, a little overweight, so we need 3 seats for her".

"Not a problem, sir. Okay, that will be $6098.81"

"Oh no", said Mr Obtuse. "I worked it out at home, before leaving. It wasn't anywhere near that high an amount".

How much money did Mr. Obtuse eventually pay for the tickets (after a lot of explaining)?

Clarifications:

No relationship is mentioned unless both parties are living (e.g. though all males are sons, the 3 sons mentioned each have a father that is on the flight).

"a pair of twins" means 2 people (one set of twins), not 4.

edit - I added the clarifications and the fact that the mentioned people represent the entire living family

edit - OMG I goofed. I overstated the number of uncles. I have adjusted the question. Instead of 2 uncles, there is only one, and instead of 2 seats, Auntie needs 3. Everything else remains the same. Sorry if this caused anyone an aneurysm.

edit - Again I goofed. I have changed the reference to Mr. Cheap to Mr. Obtuse (though this did not affect the answer).

Answer:

There are only six people on the flight. Their relationships are shown in the following diagram. Each person is lettered A to F. Letters within the brackets denote [g]randfathers, [f]athers, ons, [c]ousins, [t]wins, ncles, ne[p]hews, [n]ieces, and [a]unts. x's refer to deceased family members.

.......x

....../.\

...../...\

..../.....\

.../.......\

..x......A[gfu]

..|......../.\

..|......./...\

..|....../.....\

..|...../.......\

D[cn].B[gfsct].E[cta]

.........|

.........|

.........|

.......C[fps]

.........|

.........|

.........|

........F

D and E are female.

An initial count of Mr Obtuse's seating needs (ignoring relationships) yields (17 people + 2 extra seats =) 19 tickets. Therefore tickets must $320.99 each since the only factors of 609881 are 19 and 32099.

6 tickets @ $320.99 = $1,925.94

Note: It is also possible to have D be the daughter of A, if E becomes the sister of C.

## Question

## Guest

When the airline ticket attendant asked Mr Obtuse how many tickets he and his family would need, he responded "well, let's see. We have 2 grandfathers, 3 fathers (with their sons), 3 cousins, a pair of twins, an uncle, a nephew, a niece and an aunt. Yup, that's the entire living family. Oh, and Auntie is, um, well, a little overweight, so we need 3 seats for her".

"Not a problem, sir. Okay, that will be $6098.81"

"Oh no", said Mr Obtuse. "I worked it out at home, before leaving. It wasn't anywhere near that high an amount".

How much money did Mr. Obtuse eventually pay for the tickets (after a lot of explaining)?

Clarifications:

edit - I added the clarifications and the fact that the mentioned people represent the entire living familyedit -OMGI goofed. I overstated the number of uncles. I have adjusted the question. Instead of 2 uncles, there is only one, and instead of 2 seats, Auntie needs 3. Everything else remains the same. Sorry if this caused anyone an aneurysm.edit -AgainI goofed. I have changed the reference to Mr. Cheap to Mr. Obtuse (though this did not affect the answer).Answer:

## Link to post

## Share on other sites

## 9 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.