# Barrel with water

The water barrel has a weight of 52 kg. When we pour a quarter of the water, the weight of the barrel is reduced to 40 kg. Determine the weight of the empty barrel.

Result

m =  4 kg

#### Solution:

$\ \\ m + v=52 \ \\ m + (v - v/4)=40 \ \\ \ \\ m+v=52 \ \\ 4m+3v=160 \ \\ \ \\ m=4 \ \\ =4 \ \text{kg} \ \\ v=48 \ \\$

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