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Susan Athena
Susan Athena, Tutor
Category: Math
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Experience:  Explaining math in plain English. IT Consultant 10 years. Algebra, Statistics, Geometry
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Ally both play in the same football team and Gitta is their

Customer Question

Amy and ally both play in the same football team and Gitta is their manager. There are 3 reserves. Gotta has a contact for all the team and the whole team has Gitta as a contact in their phone.
All the players and reserves have contacts for some of the other members of the team. Gitta and all the team have different numbers of contacts apart from Amy.
Amy has the same number as Ally. Gitta asked how many Amy and Ally have and they said they didn't know. Amy thought that it was an even number but Gitta said 'I'm not sure that's correct'. Ally said she thought she had 9 but Gitta then said 'I don't think ally is right either. 'I think I can work out how many contacts you both have' said Gitta. How did she know they were both wrong? How many contacts do they both have?
This has been troubling me because I know it's probably not an even number, it's 13 or less because they can't count themselves, they have Gitta and there's 14 people on the team + Gitta and it's probably not 9. I can't work out the rest though. Please help!
Submitted: 4 years ago.
Category: Math
Expert:  mathwhiz123 replied 4 years ago.

How many players are on the football team? 11 + 3(reserves)?

Customer: replied 4 years ago.
I will consider 11 + 3 reserves.
Expert:  mathwhiz123 replied 4 years ago.

Then plus Gitta is 15 contacts.

Customer: replied 4 years ago.
15. Contacts including the person I mean ally or Amy
Expert:  mathwhiz123 replied 4 years ago.

"Gitta and all the team have different numbers of contacts apart from Amy. Amy has the same number as Ally."

Expert:  mathwhiz123 replied 4 years ago.

This doesn't make any sense. If Ally is part of the team, she would not have the same number of contacts as Amy as shown in the above first sentence.

Expert:  mathwhiz123 replied 4 years ago.

...or is Ally part of the team?

Customer: replied 4 years ago.
I would think that she is part of the team too
Expert:  mathwhiz123 replied 4 years ago.

Then how are these statements true if Ally is also on the team?...

"Gitta and all the team have different numbers of contacts apart from Amy.

BUT

"Amy has the same number as Ally."

Customer: replied 4 years ago.
Agree with you that these two statements does not make sense.
As it also states that they are member of the team.
Expert:  mathwhiz123 replied 4 years ago.

I get it now... for example Amy and Ally may have "eight" phone numbers, but those 8 people that they have are not all the same.

Expert:  mathwhiz123 replied 4 years ago.

The Coach has the phone numbers like this:

Coach

S1

S2

S3

S4

S5

S6

S7

S8

S9

S10

S11

R1

R2

R3

Expert:  mathwhiz123 replied 4 years ago.

S= Starter (up to 11 players)

R= Reserve (up to 3 players)

Customer: replied 4 years ago.
Maybe
Expert:  mathwhiz123 replied 4 years ago.

But whether someone is a starter or a reserve may not matter right now... I'm putting them into excel right now.

Customer: replied 4 years ago.
Ok
Customer: replied 4 years ago.
Ok send to me I need to finish now
Customer: replied 4 years ago.
Please and thanks
Expert:  mathwhiz123 replied 4 years ago.

I'm experimenting with it to make sure it specifies all conditions...

Expert:  mathwhiz123 replied 4 years ago.

Is Gitta a player also?

Expert:  mathwhiz123 replied 4 years ago.

Try 7

Expert:  mathwhiz123 replied 4 years ago.

I made an interactive spreadsheet that gets me to 7.

It's an odd number that is not 9 that satisfies the conditions.

Customer: replied 4 years ago.
Hi , it looks fine to me. Many thanks , I will try that.
Customer: replied 4 years ago.
just a last question. How did you select the white boxes ones (other players). There is any formula or just randonly,
Customer: replied 4 years ago.
Sorry one more question .There says also that '' all of the squad except Amy have different numbers of first team squad contacts on their phones. Is it picked up on the white boxes?
Expert:  mathwhiz123 replied 4 years ago.

I randomly checked the boxes to see if I could get a count that would fit.

Expert:  mathwhiz123 replied 4 years ago.

What I had to do was to make sure that if I put an 'x' into one person's phonebook, then I had to do it for another:

For example: If I put Player #8's number in player #3's phone book, then I have to also put an 'x' for #3 in player #8's phonebook.

Expert:  mathwhiz123 replied 4 years ago.

But that last questions may have some ramifications also...

If the difference bewteen first team and reserve groups matters, then we also would need to know whether Amy and Ally are reserve or first-team starters.