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+2v​=5.55  k+v=9.85 k+v/2=5.55  k+v=9.85 2k+v=11.1  Pivot:Row1↔Row2 2k+v=11.1 k+v=9.85  Row2−21​⋅ Row1→Row2 2k+v=11.1 0.5v=4.3  v=0.54.3​=8.6 k=211.1−v​=211.1−8.6​=1.25=45​ kg=1.25 kg  k=45​=1.25 v=543​=8.6

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