exploringm wrote:

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

(1) if 1/2 of the gas in tank x were pumped out, the tank would be filled to 1/3 of its capacity

(2) if .75 kiloliter of gas were pumped into tank x, it would be filled to capacity

Appreciate the help!

Lets say The total capacity of the tank = T

Current amount of gasoline in the tank = C

Question asks the value of CStatement 1- if 1/2 of the gas in tank x were pumped out, the tank would be filled to 1/3 of its capacity

C - (1/2)C = (1/3)T

(1/2)C= (1/3)T

C= (2/3)T

Value of T is unknown.

Thus insufficientStatement 2- if .75 kiloliter of gas were pumped into tank x, it would be filled to capacity

C + 0.75 = T

C= T - 0.75

Value of T is unknown.

Thus insufficientStatement 1 & 2-

C= (2/3)T -----(Statement 1)

C= T - 0.75 -----(Statement 2)

(2/3)T = T - 0.75

(1/3) T = 0.75

T = 3 * 0.75 = 2.25

Value of T is 2.25 and thus we can calculate the value of C as well.

Thus SufficientSo the answer is C

Hope this detailed explanation helps.

Fame

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