Math and Arithmetic

Brain Teasers and Logic Puzzles

# If you had a 5 gallon bucket and a 3 gallon bucket how would you get 4 gallons?

###### Wiki User

###### April 28, 2009 12:41PM

you fill the 3 gallon bucket into the 5 gallon bucket twice 2 *3 6 gallons but the 5 gallon will only overflow once it hits 5 gallons. You get the 1 gallon half in the 3 gallon bucket and dump the water out of the 5 gallon bucket. You pour the 1 gallon left from the 3 gallon bucket into the 5 gallon bucket and then refill the 3 gallon bucket and put the 3 gallons in making 4 gallons.

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Fill up the 3 gallon bucket twice and empty the water into the 5
gallon bucket. This will leave you with 1 gallon in the 3 gallon
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First, fill up the 5 gallon bucket. Then, pour the contents in
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###### Asked in Math and Arithmetic

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# Start with empty buckets, and carry them to the well. # (Note
that the larger is the 7-gallon bucket, and the smaller is the
4-gallon bucket.) # Fill the 4-gallon bucket with water to the top.
# Empty all the water from the 4-gallon bucket into the 7-gallon
bucket. # (Note that there is room in the 7-gallon bucket for
exactly 3 more gallons.) # Fill the 4-gallon bucket again. # Pour
from the 4-gallon bucket into the 7-gallon bucket all the water
that will fit, spilling none. # (Note that since there was room for
only 3 more gallons in the 7-gallon bucket, you now have 1 gallon
left in the 4-gallon bucket.) # Dump out all the water from the
7-gallon bucket. (Pour it back into the well or onto some flowers
so it's not wasted.) # Pour the 1 gallon of water that remains in
the 4-gallon bucket into the empty 7-gallon bucket. # Refill the
4-gallon bucket completely. # Pour all the 4 gallons from the
4-gallon bucket into the 7-gallon bucket. # (Note that since the
7-gallon bucket had 1 gallon already and you added 4 gallons, you
now have 5 gallons of water in the 7-gallon bucket!) # Bring back
your 7-gallon bucket that's holding exactly 5 gallons of water.
(Bring your 4-gallon bucket back too, in case you want to play
again!)

###### Asked in Math and Arithmetic

### If you had a 7 gallon bucket and a 5 gallon bucket how would you get 1 gallons?

The notation below gives the amount of liquid (in gallons) in
the 5 gallon bucket followed by the 7 gallon bucket.
Fill 5G bucket (5, 0)
Empty 5G into 7G (0, 5)
Fill 5G again (5, 5)
Pour as much as possible from 5G into 7G (3, 7)
Empty 7G (3, 0)
Pour from 5G to 7G (0, 3)
Fill 5G again (5, 3)
Pour as much as possible from 5G into 7G (1, 7)
Done - you have 1 gallon in the 5G bucket.

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### If you have a 3gallons and a 5 gallons jug how do you measure out 4 gallons with the 3 and 5 gallons jug?

Fill the 5 gallon jug
Pour from the 5 gallon to fill the 3 gallon jug
You now have 2 gallons in the 5 gallon jug
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Pour the 2 gallons from the 5 gallon jug into the 3 gallon
jug
Fill the 5 gallon jug
Pour from the 5 gallon jug to fill the three gallon jug -- this
will tale 1 gallon
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1. Completely fill the 4 gallon container. 2. Pour 3 of the 4
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### If you had a 3 gallon jar and a 5 gallon jar how could you get exactly 4 gallons of liquid into one of the jars?

Fill the 3 Gallon Jar to the top.
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Fill the 3 gallon jar up again. You now have 3 gallons in both
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Fill the 5 Gallon jar up to the top using the 3 gallon jar. You
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jar.
Empty out the 5 gallon jar and then empty the 3 gallon jar into
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gallons in the 3 gallon jar.
Finally, fill the 3 gallon jar up to the top and then empty the
3 gallon jar into the 5 gallon jar.
Voila! You now have 4 gallons in the 5 gallon jar.