A drum is 2/5 full.if 75 litres are required to fill it,what is the capacity of the drum?
it is 3/5 empty, so
3/5 x = 75
now just find x.
Intrest
To find the capacity of the drum, we need to first determine how much volume is already in the drum since it is only 2/5 full.
Let's assume the capacity of the drum is C liters. We know that it is currently 2/5 full, which means there are 2/5 times C liters already in the drum.
To calculate the volume already in the drum, we multiply 2/5 by the capacity of the drum:
Volume already in the drum = (2/5) * C
Now, we know that 75 liters are required to fill the drum completely. So, the remaining volume needed is the difference between the drum's full capacity and the volume already in the drum:
Remaining volume = Full capacity - Volume already in the drum
Since the drum is not completely filled, the remaining volume is equal to 75 liters:
Remaining volume = 75 liters
Substituting the expression for the volume already in the drum, we have:
C - (2/5) * C = 75
To solve for C, we can simplify the equation:
C - (2/5)C = 75
Multiplying through by 5 to get rid of the fraction:
5C - 2C = 375
3C = 375
Dividing both sides by 3:
C = 375 / 3
C = 125
Therefore, the capacity of the drum is 125 liters.