el1981 wrote:

Can someone help to solve this question. i got cofused... thanks.

If tank contains only gasoline, how many kiloliters of gasoline are in tank X?

1. If 1/2 of the gasoline in tank X were pumped out, the tank would be be filled to 1/3 of its capacity.

2. If 0.75 kiloliters of gasoline were pumped into tank X, it would be filled to capacity.

from ( i )

assumed all units are in kilolitres.

Let's say the capacity of the tank is V and the amont of gasoline present in the tank is X.

Amount of gasoline pumped out is X/2, then the tank would be filled to V/3. That means the volume V/3 contains the remaining half of the gasoline.

implies: V/3 = X/2 , that is X = (2/3)*V

But as we don't know the V ( capacity of the tank ) we can't give the definite answer.

from ( ii )

Let's say the capacity of the tank is V and the amont of gasoline present in the tank is X.

X+0.75 = V

from ( i ) and ( ii ), you can easily solve for X.

X = (2/3)*( X+0.75 )

X= 1.5kilolitres.