Puzzles with numbers and things

[snookersfun]

...and who would have thought?
Just found news from Monique that she solved those Pentaminos (can't be bothered to check which round it was now). Do not have the hard proof yet (so everybody still has about a week's time to solve them as well), but meanwhile: Very well done!!!

[Monique]

yes, it was ... I did not get the idea of the free ball+yellow potted together. Actually I thought this would have been a foul .. need to re-read the rules!

[davis_greatest]

Round 317 ... what about 199 bananas?
Round 318 ... 164 strawberries?

dear, dear...
rather keep those bananas at 199
but do have that one more strawberry

at least now it all makes sense

Congratulations Monique and snookersfun! 199 bananas and 165 strawberries it is! This is how Gordon manages it:

Shirty breaks off and leaves a free ball, leaving 16 'reds'. Gordon pots 'red' and then yellow, 16 times.

Each 'red' gains Gordon 2 bananas (well, 3 go into the sack but Shirty eats one) and 1 strawberry (2 strawberries into the sack before Shirty eats one).

Each yellow gains Gordon 1 banana (3 go into the sack but Shirty eats two) and no strawberries (Shirty puts in 2 strawberries but eats them both).

So, by now, the sack contains 147 + 16 x (2+1) = 195 bananas and 147 + 16 x 1 = 163 strawberries.

Then, Gordon plays safe (or misses a pot - probably he snookers Shirty) and Shirty fouls, leaving a free ball again on the yellow. Clever Gordon nominates a free ball and knocks in the free ball together with the yellow in one shot.

That means 2 balls potted in one shot and 2 points scored - this gives another 3x2-2 = 4 bananas (total 199) and 2x2-2 = 2 strawberries (total 165).


PS If Gordon gets both free balls on the reds, so potting 17 'reds' and yellows, he still gets 199 bananas but only manages 164 strawberries. Monique, was this your way?

[snookersfun]

dear, dear...
rather keep those bananas at 199
but do have that one more strawberry

at least now it all makes sense

[snookersfun]

so, that penny dropped while sleeping
200 bananas
165 strawberries

[davis_greatest]

foul shot now- potting all colours instead of last read: 3x6 points

Eh? That's not a pot. A pot must be a legal shot - knocking all the colours in in one shot is not a pot!

So we are back to Monique with the leading bids...

Edit: to clarify, the rules of snooker state that "a pot is when an object ball, after contact with another ball and without any infringement of these Rules, enters a pocket." So fouling and causing balls to enter a pocket is pocketing them, not potting.

[snookersfun]

That's a lot of fruit for Gordon, snookersfun! So, what balls does he pot there?

for 232 points, which are 234 now
starting with a free ball
potting that and e.g. 14 reds with yellows: 3x15 points
foul shot now- potting all colours instead of last read: 3x6 points

Shirty's shot leaves another free ball

potting free ball and red with yellows: 2x3 points
disaster on colours again: 3x6 points

added to 147 starting bananas (why in the world):234 points

now for the 190 points, which are back to 188 for now:
pretty much like above really

or the 190 where:
starting with free ball with yellow= 1 point
pot all on table now = 21x2 points

and concedes after Shirty's next shot (as food is much more important)

[davis_greatest]

I predict a major stomach disorder - unless Gordon is as big as an elephant

He is quite small, but surprisingly adept at eating fruit.

actually, why stop there:
Round 317 ... 232 bananas?
Round 318 ... 188 strawberries?

might well be more complex than that even...

190 for R.318 now

That's a lot of fruit for Gordon, snookersfun! So, what balls does he pot there?

[snookersfun]

actually, why stop there:
Round 317 ... 232 bananas?
Round 318 ... 188 strawberries?

might well be more complex than that even...

190 for R.318 now

[snookersfun]

how about:
Round 317 ... 205 bananas?
Round 318 ... 168 strawberries?

actually, why stop there:
Round 317 ... 232 bananas?
Round 318 ... 188 strawberries?

might well be more complex than that even...

[April madness]

Any other bids?

I predict a major stomach disorder - unless Gordon is as big as an elephant

[snookersfun]

A very good bid from Monique.

It is possible, however, for Gordon to get more fruit - but I won't yet say whether more bananas, strawberries, or both!

Any other bids?

how about:
Round 317 ... 205 bananas?
Round 318 ... 168 strawberries?

[davis_greatest]

Round 317 ... what about 199 bananas?
Round 318 ... 164 strawberries?

A very good bid from Monique.

It is possible, however, for Gordon to get more fruit - but I won't yet say whether more bananas, strawberries, or both!

Any other bids?

[Monique]

Round 317 ... what about 199 bananas?
Round 318 ... 164 strawberries?

[davis_greatest]

and at the same time as answering round 317, please put bids for round 318, which is similar but has strawberries.

Round 318 - Strawberry Surprise

During the same match in round 317, exactly the same thing happens with Gordon's other sack, initially containing 147 strawberries - except that for every ball that Gordon pots, Shirty puts two (not three) strawberries into Gordon's sack (and eats one of Gordon's strawberries for every point that Gordon scores by potting balls).

What is the maximum number of strawberries that Gordon can have at the end of the match?

Please post your bids for numbers of strawberries (round 318) at the same times as answering round 317 (bananas).