Barrel of oil

The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel?

Correct answer:

m =  25.3077 kg

Step-by-step explanation:


m + o = 283
m + (1-26/100) o = 216

m + o = 283
m + (1-26/100)·o = 216

m+o = 283
100m+74o = 21600

Pivot: Row 1 ↔ Row 2
100m+74o = 21600
m+o = 283

Row 2 - 1/100 · Row 1 → Row 2
100m+74o = 21600
0.26o = 67


o = 67/0.26 = 257.69230769
m = 21600-74o/100 = 21600-74 · 257.69230769/100 = 25.30769231

m = 329/13 ≈ 25.307692
o = 3350/13 ≈ 257.692308

Our linear equations calculator calculates it.



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