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20 Jul 2015, 05:23
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A tank is filled to 25% capacity with oil, which is a mixture of 25% WTI Crude Oil and 75% Brent Crude Oil. An additional 400 barrels of WTI Crude Oil are added to the tank, filling 2/3 of the remaining empty space. What is the total amount of WTI Crude Oil in the tank?
A. 425 barrels
B. 437.5 barrels
C. 450 barrels
D. 500 barrels
E. 650 barrels
A. 425 barrels
B. 437.5 barrels
C. 450 barrels
D. 500 barrels
E. 650 barrels
20 Jul 2015, 05:23
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Official Solution:
A tank is filled to 25% capacity with oil, which is a mixture of 25% WTI Crude Oil and 75% Brent Crude Oil. An additional 400 barrels of WTI Crude Oil are added to the tank, filling 2/3 of the remaining empty space. What is the total amount of WTI Crude Oil in the tank?
A. 425 barrels
B. 437.5 barrels
C. 450 barrels
D. 500 barrels
E. 650 barrels
Initially, the tank was 25% full. Then, 2/3 of the remaining empty space in the tank, which corresponds to 2/3 of the remaining 75%, was filled with 400 barrels of WTI Crude Oil. Since 2/3 of 75% equals 50%, we know that 50% of the tank's capacity is equivalent to 400 barrels, which means the total capacity of the tank is 800 barrels.
At the beginning, the tank contained \(0.25*0.25*800=50\) barrels of WTI Crude Oil. After adding 400 barrels of WTI Crude Oil, the total amount of WTI Crude Oil in the tank increased to \(50 + 400 = 450\) barrels.
Answer: C
A tank is filled to 25% capacity with oil, which is a mixture of 25% WTI Crude Oil and 75% Brent Crude Oil. An additional 400 barrels of WTI Crude Oil are added to the tank, filling 2/3 of the remaining empty space. What is the total amount of WTI Crude Oil in the tank?
A. 425 barrels
B. 437.5 barrels
C. 450 barrels
D. 500 barrels
E. 650 barrels
Initially, the tank was 25% full. Then, 2/3 of the remaining empty space in the tank, which corresponds to 2/3 of the remaining 75%, was filled with 400 barrels of WTI Crude Oil. Since 2/3 of 75% equals 50%, we know that 50% of the tank's capacity is equivalent to 400 barrels, which means the total capacity of the tank is 800 barrels.
At the beginning, the tank contained \(0.25*0.25*800=50\) barrels of WTI Crude Oil. After adding 400 barrels of WTI Crude Oil, the total amount of WTI Crude Oil in the tank increased to \(50 + 400 = 450\) barrels.
Answer: C
10 Apr 2023, 08:58
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
