So You Gots Some Buckets!

[midnghtraver]

You have a 4 gallon bucket and you have a 9 gallon bucket. The buckets do not have amount markers (like at 1 gallon, 2 gallons and so on).

By pouring water in the buckets back and fourth, how can you get 1-13 gallons.

Rule: You cannot just "fill the four gallon bucket up half way." (You cant measure out different amounts from the buckets)

I'll do two for you.

13 Gallons: Fill the 9 gallon bucket up, and the 4 gallon bucket up.
5 Gallons: Fill the 9 gallon bucket up, and pour it out into the 4 gallon bucket until it is full, dump out the 4 gallon bucket.

Solve the rest of em.

Edit: Only do one per post.
Edit2: I'll post right answers as we go.

1 Gallon:

Fill the niner up, Pour it into the 4g bucket until full, pour all the water in the 4g bucket out, pour more water from the 9g bucket into the 4g bucket until it's full again, dump the 4g bucket out. (Emithith)

2 Gallons:

fill the 4g
pour the 4g to the 9g
fill the 4g again
pour the 4g to the 9g again
fill the 4g again
pour the 4g into the 9g as much as possible (3g left in the 4g bucket, and 9g in the 9g)
dump the 9g bucket
pour the 3g in the 9g bucket
fill the 4g bucket
pour the 4g into the 9g bucket
(7g in the 9g bucket)
fill the 4g bucket again
pour the 4g bucket into the 9g bucket as much as it can still hold
(there will be 2g left in the 4g bucket) (Emithith)

3 Gallons:

Pour the 4 gallon bucket in the 9 gallon bucket twice (8 gallons) Fill the 4 again, and pour enough to fill the rest of the 9 bucket leaving you with 3 gallons. (TheSaxRunner05)

4 Gallons:

Fill the 4 gallon bucket. (PrawnSkunk)

5 Gallons: Fill the 9 gallon bucket, pour it into the 4 gallon bucket, dump out the four gallon bucket. (Example)
6 Gallons:
7 Gallons:
8 Gallons:

Pour two 4 gallon buckets into the 9 gallon bucket. (TheSaxRunner05)

9 Gallons:
10 Gallons:
11 Gallons:
12 Gallons:

Fill the four bucket twice, pour it in to the nine bucket, fill four bucket again. (alloyus)

13 Gallons: Fill both buckets. (Example)

All of these are possible.

[PrawnSkunk]

Re: So You Gots Some Buckets!

4 gallons: fill the four gallon bucket o3o

[YoshL]

Re: So You Gots Some Buckets!

if you do 1 gallon you can get 1-13 in the process.

fill up the 4 and pour into 9 x2 - 9 has 8 gallons
fill the 4 and pour 3 from the 4 into the 9 - 9 has 9 gallons, 4 has 3 gallons (12)
pour out the 9 gallon - 4 has 3 gallons
pour the 4 into the 9 - 9 has 3 gallons
fill the 4 and pour into the 9 - 9 has 7 gallons (fill the 4 to get 11)
fill the 4 and pour 2 into the 9 - 9 has 9 gallons, 4 has 2 gallons
pour out the 9 gallon - 4 has 2 gallons (fill the 9 to get 13)
pour the 4 into the 9 - 9 has 2 gallons
fill the 4 and pour into the 9 - 9 has 6 gallons
fill the 4 and pour 3 into the 9 - 9 has 9 gallons, 4 has 1 gallon (10)
theres 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

[25thhour]

Re: So You Gots Some Buckets!

To get 10, you can FIll the 9, pour 4 litres into the four gallon and then four more into four gallon then you have 1 in the 9 gallon which you can pour into the 4 gallon, refill the 9 gallon and bam

[midnghtraver]

Re: So You Gots Some Buckets!

.... you guys didn't read the rule. You cant measure out different amounts from the 4 and 9 gallon buckets.

Good job PrawnSkunk *claps*

[Emithith]

Re: So You Gots Some Buckets!

Oh I get it.

One gallon:
Fill the niner up
Pour it into the 4g bucket until full
pour all the water in the 4g bucket out
pour more water from the 9g bucket into the 4g bucket until it's full again
dump the 4g bucket

9g bucket will now have 1g.

edit: Is this really a CT? I'd think it's a forum game, but IF IT IS, no post limit wheeee~

[YoshL]

Re: So You Gots Some Buckets!

i solved it perfectly (and very roundaboutly to get all the solutions.). you're just not reading.

i.e. when i say pour the 3 from the 4 into the 9, that's taking into account that the 9 already has 6 gallons in it. therefore, it's perfectly possible to measure.

[midnghtraver]

Re: So You Gots Some Buckets!

fill the 4 and pour 3 from the 4 into the 9

Can't do that.

If the 4 is filled with 4 gallons, the only thing you can do is dump out 4 gallons or pour out 4 gallons.

Also, How'd the 9 get 6 gallons in it...

edit: Is this really a CT? I'd think it's a forum game, but IF IT IS, no post limit wheeee~

Its math *Shrugs*

[YoshL]

Re: So You Gots Some Buckets!

lol whoops

it wasn't that i didn't read the rules, it was that i suck at not making stupid mistakes in logic.

[midnghtraver]

Re: So You Gots Some Buckets!

O.o I don't think this should be in chit chat, you have to use logic and math to solve it.

[MasterOfTheTaco]

Re: So You Gots Some Buckets!

do we have to use water to fill the buckets
i like diet coke better

[TheSaxRunner05]

Re: So You Gots Some Buckets!

Simple ones:
8 = 4 + 4
5 = 9 - 4
3 = From having 8 gallons in the 9 bucket, Fill up the 4 gal to the rim and dump enough water to fill the 9 gal to the rim, 3 is left in the 4 gal jug
7 = Put the 3 gals in the 9 gal jug, then fill the 4 gal and dump it in

Edit:// 1 = 5 - 4
10 = 1 + 9
12 = 9 + 3
13 = 9 + 4

Only 2 and 6 to figure out yet

Edit2:// 2 = Have 7 gallons in the 9g above, then dump a full 4g bucket to fill it to the rim, 2g are left in the small bucket
6 = 2 + 4

11 = 2 + 9

Solved

/Lock thread =p

[Emithith]

Re: So You Gots Some Buckets!

You just said there was no way to measure the buckets though.

[midnghtraver]

Re: So You Gots Some Buckets!

You just said there was no way to measure the buckets though.

Measure out a different amount than the total. So like You could just be like "uh fill the 9 gallon bucket up with 7 gallons"

You can only fill them up to 4 or 9 and then mix them around to get other amounts.

[pmonibuv1]

Re: So You Gots Some Buckets!

Fill 4 gallon, pour 4 gallon into 9 gallon. Fill 4 gallon again and pour that into the 9 gallon again. = 8 gallon