The water Can

A watering can full of water weighs 10 kg. Half-full can weigh 5.5 kg. How much weight is a can?

Correct answer:

k =  1 kg

Step-by-step explanation:


k+v = 10
k + v/2 = 5.5

k+v = 10
2k+v = 11

Pivot: Row 1 ↔ Row 2
2k+v = 11
k+v = 10

Row 2 - 1/2 · Row 1 → Row 2
2k+v = 11
0.5v = 4.5


v = 4.5/0.5 = 9
k = 11-v/2 = 11-9/2 = 1

k = 1
v = 9

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