Football Math question

[Brock Landers]

Assume that there are only 2 way to score points in football: a 7 point touchdown or a 3 point field goal.<?xml:namespace prefix = o ns = "urn:schemas-microsoft-comfficeffice" /><o></o>

<o> </o>

Using combinations of 7 and 3, a team will be able to score almost all number values in points.<o></o>

(i.e. 2 touchdowns and 3 field goals is 23 points, 3 touchdowns and 1 field goal is 24 points, 1 touchdown and 6 fieldgoals is 25 points, etc).<o></o>

<o> </o>

There are some number values that cannot be achieved. (i.e. 8 points cannot be obtained from any combination of 3 and 7).<o></o>

<o> </o>

QUESTION: What is the smallest number that can be achieved by a team with these rules, where every number LARGER can also be achieved?<o></o>

 

[volhound]

12 b/c 11 can't be achieved

 

[Illini]

Brock, are you a junior high math teacher or something? :WTF:

 

[Brock Landers]

LOL


12 is right, its a basic proof, college level actually. The tick is in being able to prove it, not just come up with the number.

 

[Glaken]

Touchdown,field goal, and safety in the real world.....with your rules Brock I would say 4 field goals. ?

 

[Glaken]

Is it a geometry proof?

 

[volhound]

i don't think there is a trick (tick). one obviously knows how they got there if they figured it out - right?

mr professor - please don't take off any points for the answer

 

[Glaken]

Vol, are we assuming 7 points only for a touchdown or is there an extra point? If there is an extra point its a no brainer.

 

[volhound]

brock says only combinations of 7 and 3, so no extra point

 

[Glaken]

Well I hope Brock gets hia Yankee Ass back on the thread and gives us Confederates a hint!!

 

[Brock Landers]

7,'s and 3's are the only possibilites hereAnd 12 was already given which is the correct answer.

 

[Glaken]

Well, Hell that was easy; I thought you wanted some geometric proof or something.....There should be a math question of the day, by the way. I need to waste more time at work!

 

[Brock Landers]

Well, Hell that was easy; I thought you wanted some geometric proof or something.....There should be a math question of the day, by the way. I need to waste more time at work!

thats an excellent idea, exercise your noodle on a daily basis..

 

[Glaken]

OK, Brock .... you go again tomorrow and we can alternate, can you post by noon?

 

[FunkSoulBrother]

I'd post a proof by induction but I hate discrete math.

 

[Brock Landers]

OK, Brock .... you go again tomorrow and we can alternate, can you post by noon?

uhh..maybe, no gurantees

 

[mhk]

LOL, here is one. What is the next #:
.47,3.3,1.56,?

 

[jeffksu]

here's one for you...3 men check into a hotel room and the clerk says rooms are 30 dollars....no brainer that's 10 bucks each....after about an hour the clerk thought he had made a mistake that was a 25 dollar room...so he calls bellboy, hands him 5 singlesand says return this to the three guys in the room...bellboy can't do math so he puts 2 dollars in his pocket and hands them each a dollar...moral of the story....each man had to pay 9 dollars for room=====27,,,bellboy keeps 2 dollars in pocket====2 27+2====29...where in the hell did that other dollar go?????????????got it......jeffksu....:105317756