# Measuring 2, 2 and 3 Liters from 7, 4, 3 bowl?

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You have three bowls: 7, 4 and 3 liters in capacity where only the 7-liter is full.
Pour the fewest times to have the bowls containing 2, 2 and 3 liters.

posted Feb 14, 2014

## 2 Solutions

Bowls are in the order of 7, 4, 3.
First Step - 7, 0, 0
Second Step - 0, 4, 3
Third Step - 3, 1, 3
Fourth Step - 6, 0, 1
Fifth Step - 2, 4, 1
Sixth Step - 2, 2, 3

solution Mar 10, 2014
+1 vote

Fill the 4-liter from the 7-liter bowl. Fill the 3-liter from the 4-liter bowl. Now will have 3 liters left in the 7-liter,1 liter in the 4-liter and 3 in the 3-liter bowl. Now pour from the 3-liter to the 7-liter bowl, and then pour the 1 liter left in the 4-liter bowl to the 3-liter bowl. (Now it looks like 6,0,1)
Now fill the 4 from the 7 (Now it looks like 2,4,1)
Now fill the 3 from the 4 (Now it looks like 2,2,3)

solution Feb 14, 2014

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+1 vote

Given three bowls: 7, 4 and 3 liters capacity. Only the 7-liter is full. Pouring the water the fewest number of times, make the quantities of 2, 2, and 3 liters.

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If
9+5+6=454854
8+4+2=328316
5+9+3=452515
Then
9+4+7=?