shikh wrote:After installing a powerful pump onto a large gasoline tank, John pumped gasoline out of the tank. Each time John ran the pump, it removed 1/3 of the gas remaining in the tank. Assuming the gas tank was full when John began, what fraction of the total gas in the tank at the beginning was removed if John ran the pump three times?
A) 8/27
B) 1/27
C) 2/3
D) 19/27
E) 27/28
OAD
Let gas = 27.
Amount removed by the first pump = (1/3)27 = 9.
Amount remaining = 27-9 = 18.
Amount removed by the second pump = (1/3)18 = 6.
Amount remaining = 18-6 = 12.
Amount removed by the third pump = (1/3)12 = 4.
Total removed/total gas = (9+6+4)/27 = 19/27.
The correct answer is
D.
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