# math

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A drum is 2/3 filled with oil.15 litres of oil is removed from the drum. The drum is now 3/5 full, find the capacity of the drum in litres.

• math -

OK. So let's create a formula of some sort. So what do we know?

- When we remove 15 L from 2/3 filled drum, we have only 3/5 of the drum full

Let's change this to a mathematical sentence.

Let's say that whole drum holds 'x' Litres
So we can say the following:

2/3 x - 15 = 3/5 x
(So 2/3 of the total volume of the drum minus 15 L is equal to 3/5 of the total volume of the drum)
2/3 x - 3/5 x = 15
1/15 x = 15
x = 15 * 15
x = 225 L

So the capacity of the drum should be 225 L.

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