Classic math problem....?
Two friends who have an eight-quart jug of water wish to share it evenly. They also have two empty jars, one holding five quarts, the other three. How can they each measure exactly 4 quarts of water?
Two friends who have an eight-quart jug of water wish to share it evenly. They also have two empty jars, one holding five quarts, the other three. How can they each measure exactly 4 quarts of water?
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Step 1: Fill up the 5 quart jar.
Step 2: Pour from the 5 quart jar to the 3 quart jar. You now have 2 quarts left in your 5 quart jar
Step 3: Pour away the water from the 3 quart jar, and pour the 2 quarts from the 5 quart jar to the 3 quart jar. You now have 2 quarts of water in the 3 quart jar, and none in the 5 quart jar
Step 4: Fill up the 5 quart jar and pour into the 3 quart jar unti it is just full. Congratulations! You are left with 4 quarts of water in your 5 quart jar.
If you have an auxiliary vessel of 4 or more quart capacity, it's easy. Fill the 5 from the jug, the 3 from the 5, and dump the two remaining in the 5 into the aux. Repeat once and you're done.
If you don't have an aux, it's harder. The final four quarts must wind up in the 5, so it's one quart short of full. And I can't see a way to get there.
Fill the 3 quart jug with water and pour it into the 5 quart jug. Fill the 3 quart again and fill up the 5 quart jug, now you have 1 quart left in the 3 quart jug. Empty the 5 quart jug back into the 8 quart jug, pour the 1 quart left in the 3 quart jug into the 5 quart jug, fill the 3 quart jug again, pour it in with the 1 quart and you have 4 quarts in the 5 and 8 quart juggs. whalaa
you fill the 5 quartz jar using the 3 quartz jar all the way to the top leaving 1 quarts in the 3 quartz jar. So you then pour back the water in the 8 quart jug from the 5 quart jar. you fill the now empty 5 quartz jar with the one quart of water left in the 3 quartz jar. then fill the 3 quartz far again and pour it in the 5 quartz jar leaving exactly 4 quartz McClane!!!
First fill the five-quart jug full with water from the eight-quart jug.
Then fill the three-quart jug full with water from the five-quart jug. Transfer all the water in the three-quart jug back into the eight-quart jug.
Transfer the two quarts of water remaining in the five-quart jug to the three-quart jug.
Fill the five-quart jug full again with water from the six quarts of water remaining in the eight-quart jug.
Transfer some (one-quart) water in to the three-quart jug till it is full.
The water remaining in the five-quart jug is four-quarts.
Pour the three-quarts of water in the three-quart jug to the one-quart of water remaining in the eight-quart jug to make it four-quarts.
Thus the two friends can share the water evenly.
Let the 3 buckets be A, B and C with volumes 8, 5 and 3, respectively. The contents after each stage are given as an ordered triplet (A,B,C)
Step 0. (8,0,0)
Step 1. fill B from A (3,5,0)
Step 2. fill C from B (3,2,3)
Step 3. transfer C to A (6,2,0)
Step 4. transfer B to C (6,0,2)
Step 5. fill B from A (1,5,2)
Step 6. top up C from B (1,4,3)
Step 7.transfer C to A (4,4,0)
The friends take A and B.
fill the 3qt jug.
transfer to 5qt jug.
again,fill the 3qt jug.
transfer to 5qt jug.
1 qt will remain in the 3qt jug.
now pour all 5qts from 5qt
jug back into 8qt jug.
pour the 1qt into the 5qt jug.
use the 8qt to fill the 3qt jug,
and pour that 3qts into the 5 qt jug.
the 5qt jug now contains four quarts.
the 8qt jug now contains four quarts.
Daniella u r gr8
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