A drum of water is \frac{3}{5} full. When 57 litres are drawn from it, it is just \frac{1}{8} full. find the total capacity of drum :

Foundation

Mathematics Foundation

Solution of Linear Equation

Mixture

Linear Equations in One Variable

Question

A drum of water is $\frac{3}{5}$ full. When 57 litres are drawn from it, it is just $\frac{1}{8}$ full. find the total capacity of drum :

240 lit

120 lit

100 lit

120 ml

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Let the total capacity of drum is x
Given that
$(\frac{3}{5} - \frac{1}{8}) \times = 57 lit$
$\frac{19}{40} x = 57$
x = 120 lit