Bucket

Half-filled bucket with water weighs 5.55 kg. The full bucket weighs 9.85 kg. How much does the bucket weigh?

Correct answer:

k =  1.25 kg

Step-by-step explanation:


k+v = 9.85
k + v/2 = 5.55

k+v = 9.85
2k+v = 11.1

Pivot: Row 1 ↔ Row 2
2k+v = 11.1
k+v = 9.85

Row 2 - 1/2 · Row 1 → Row 2
2k+v = 11.1
0.5v = 4.3


v = 4.3/0.5 = 8.6
k = 11.1-v/2 = 11.1-8.6/2 = 1.25

k = 5/4 = 1.25
v = 43/5 = 8.6

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