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10 Apr 2023, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
88% (01:35) correct
12%
(02:07)
wrong
based on 73
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A barrel of oil has 7/8 of its content removed. Then, it is filled with 38 liters and the total content is 3/5 the capacity of the barrel. What is the total capacity of the barrel?
A. 60
B. 80
C. 100
D. 120
E. 160
A. 60
B. 80
C. 100
D. 120
E. 160
10 Apr 2023, 03:15
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A barrel of oil has 7/8 of its content removed. Then, it is filled with 38 liters and the total content is 3/5 the capacity of the barrel. What is the total capacity of the barrel?
Let x be the content.
then (7/8)x is removed => (1/8)x is left.
It is filled with 38 liters and the total content
= (1/8)x + 38 = (3/5)x
=>(3/5)x - (1/8)x = 38
=>(19/40)x = 38
or x = 80 liters
Answer B
Let x be the content.
then (7/8)x is removed => (1/8)x is left.
It is filled with 38 liters and the total content
= (1/8)x + 38 = (3/5)x
=>(3/5)x - (1/8)x = 38
=>(19/40)x = 38
or x = 80 liters
Answer B
10 Apr 2023, 10:17
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Bunuel
Two ways.
Algebra:
\(\frac{1}{8}V+38 = \frac{3}{5}V\)
\(\frac{V+304}{8} = \frac{3V}{5}\)
\(5*(V+304) = 8*3V\)
\(5V+1520 = 24V\)
\(1520 = 19V\)
\(80 = V\)
Answer choice B.
Plugging In The Answers (PITA)...my preferred method (note: it's not my preferred method because I'm bad at math; it's my preferred method because it's easier, faster, has fewer opportunities to make a careless mistake, and generally causes less fatigue than the "real" math...the test doesn't care HOW you get the right answer, only THAT you get the right answer...don't let your ego dictate doing things in a way that isn't the optimal for what you're trying to accomplish, which is the best GMAT score you can get)...I can spot that this question is probably a good opportunity to use this technique because it fits two criteria that I always look for: (i) my instinct is to set up an algebraic equation by introducing a variable that isn't in the question and (ii) the answer choices are just numbers. I like trying B or D.
B: Total capacity is 80. Removing 7/8ths leaves us with 10. Adding 38 gets us to 48. Is 48 = 60% of 80? Yep; done!
Answer choice B.
ThatDudeKnowsPluggingInTheAnswers
ThatDudeKnowsPITA
