Puzzles with numbers and things

[berolina]

Another quick question
...

seems I forgot something in the question...but corrected it now...sorry...silly me

[berolina]

Another quick question


Intrigued by rambons snooker adventure in the zoo, I went there as well. However, the giraffes didn't want to play with me. They just stood there, not talking very much. I thought they were misogynic.
Anyway, I asked the penguins what was wrong. After a bit of grunting they told me. Seems that the balls I had brought were too light.
The penguins told me that giraffe snooker balls weigh:
twice as much + half of it + a quarter of it + 1 = 100.
So, instead of figuring out myself, I ask you now...

[snookersfun]

very nice Abextra! Fame on you!

[abextra]

Round 132? hopefully:

Prove the following by replacing each letter by a number:

...S.E.V.E.N
+.S.E.V.E.N
+.......S.I.X
__________
T.W.E.N.T.Y

. . 6 8 7 8 2
+. 6 8 7 8 2
+. . . .6 5 0
------------
. 1 3 8 2 1 4

[snookersfun]

does this one need a hint? I only got to figuring it out myself this morning, so it is doable...

[snookersfun]

Round 132? hopefully:

Prove the following by replacing each letter by a number:

...S.E.V.E.N
+.S.E.V.E.N
+.......S.I.X
__________
T.W.E.N.T.Y

[rambon]

As a matter of interest, if a ball won't spot, which 'highest available' does it go on?

Respotted balls are placed "as near to their spot as possible" often providing a cluster of similar coloured balls around a spot

(but you knew that TS as I saw you playing one of the other giraffes as I left the zoo later)

[The Statman]

As a matter of interest, if a ball won't spot, which 'highest available' does it go on?

[rambon]

My bloody work-hours access expired at 2:30 and I pressed 'post reply' just as the 14:29 turned into a 14:30 on my computer!

TS you're beyond reproach, so congratulations, I trust you

and 2 is definitely the first prime number

[The Statman]

My bloody work-hours access expired at 2:30 and I pressed 'post reply' just as the 14:29 turned into a 14:30 on my computer!

[The Statman]

I'm never sure whether 1 is considered the first prime number, or whether that accolade is bestowed upon 2.

So, assuming it is 2:

112 for 56 reds, 2 points each.
952 for 56 blacks with the reds at 17 points each.
...9 for the 3 yellows at 3 points each.
..25 for the 5 greens at 5 points each.
..49 for the 7 browns at 7 points each.
121 for the 11 blues at 11 points each.
169 for the 13 pinks at 13 points each.
289 for the 17 blacks at 17 points each.

The break was 1,726.

Now, if 1 is called a prime number, it is this:

..56 for 56 reds, 1 point each.
728 for 56 blacks with the reds at 17 points each.
...4 for the 2 yellows at 2 points each.
...9 for the 3 greens at 3 points each.
..25 for the 5 browns at 5 points each.
..49 for the 7 blues at 7 points each.
121 for the 11 pinks at 11 points each.
169 for the 13 blacks at 13 points each.

In which case the break was 1,161.

[rambon]

Snookersfun, berolina and Parklife_Richy all got the correct answer, with varying degrees of prompting...

Firstly the logistics: A pyramid, or tetrahedron of reds would have six layers: 21 reds in the bottom, then 15, 10, 6, 3 and 1 or a total of 56 reds

They will be valued at 2 points each. The next six prime numbers are:

Yellow - 3, Green - 5, Brown - 7, Blue - 11, Pink - 13 and Black - 17

Therefore, to get a maximum.

56 reds at 2 points
56 blacks at 17
3 yellows at 3
5 greens at 5
7 browns at 7
11 blues at 11
13 pinks at 13
17 blacks at 17

Total break 1726

[rambon]

To avoid confusion, when I say a pyramid, I mean a 3-dimensional shape with four equilateral triangle faces, which is more properly called a tetrahedron...

[rambon]

Not completely clear on the shape of the pyramid of reds, to be honest. Assuming its a triangular-based pyramid, with layers of 1,3,6,10,15 and 21, then there are 46 reds worth 2 points each, potted with 46 blacks worth 17 points each, and a colours clearance of 666 for a maximum break of:

1540.

The lay-out is as you describe the answer is wrong.

Answer me in private next time and we'll see how many people get it right. When I have 3 or 4 correct answers I'll ask for someone to publish the various different elements of it here.

[Parklife Ricky]

Not completely clear on the shape of the pyramid of reds, to be honest. Assuming its a triangular-based pyramid, with layers of 1,3,6,10,15 and 21, then there are 46 reds worth 2 points each, potted with 46 blacks worth 17 points each, and a colours clearance of 666 for a maximum break of:

1540.