Barrel

The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of their capacity. What is the volume of a barrel if the volume of the bucket is 12 liters?

Correct answer:

V =  150 l

Step-by-step explanation:


x = 0.57·V
x + 2·12 = 0.73·V

0.57V-x = 0
0.73V-x = 24

Pivot: Row 1 ↔ Row 2
0.73V-x = 24
0.57V-x = 0

Row 2 - 0.57/0.73 · Row 1 → Row 2
0.73V-x = 24
-0.22x = -18.74


x = -18.73972603/-0.21917808 = 85.5
V = 24+x/0.73 = 24+85.5/0.73 = 150

V = 150
x = 171/2 = 85.5

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