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A tank that was 40% full of oil was emptied into a 20-gallon bucket.

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A tank that was 40% full of oil was emptied into a 20-gallon bucket.  [#permalink]

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New post 08 Jun 2018, 23:50
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A tank that was 40% full of oil was emptied into a 20-gallon bucket. If the oil fills 35% of the bucket’s volume, then what is the total capacity of the tank, in gallons?

(A) 8.75
(B) 15
(C) 16
(D) 17.5
(E) 19

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Re: A tank that was 40% full of oil was emptied into a 20-gallon bucket.  [#permalink]

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New post 09 Jun 2018, 02:18
Bunuel wrote:
A tank that was 40% full of oil was emptied into a 20-gallon bucket. If the oil fills 35% of the bucket’s volume, then what is the total capacity of the tank, in gallons?

(A) 8.75
(B) 15
(C) 16
(D) 17.5
(E) 19


let capacity of tank be C
given that

\(0.4*C=0.35*20\) so C = 17.5 gallons
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Re: A tank that was 40% full of oil was emptied into a 20-gallon bucket.  [#permalink]

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New post 09 Jun 2018, 05:34
Bunuel wrote:
A tank that was 40% full of oil was emptied into a 20-gallon bucket. If the oil fills 35% of the bucket’s volume, then what is the total capacity of the tank, in gallons?

(A) 8.75
(B) 15
(C) 16
(D) 17.5
(E) 19


Let the capacity of tank be x gallon.

Given 40% of x=35% of 20
Or, 0.4x=0.35*20
Or, x=\(\frac{0.35*20}{0.4}\)=17.5 gallon

Ans. option(D)
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Re: A tank that was 40% full of oil was emptied into a 20-gallon bucket.  [#permalink]

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New post 10 Jun 2018, 04:49
Since the oil filled 35% of a 20 gallon bucket, the amount of oil would be 0.35*20=7 gallons. Now if 7 gallons is equivalent to 40% of the barrel, then you just need to multiply 7 by 2.5 (to be more precise, 7*100/40), and that comes out to be 17.5 gallons. One way for those who struggles a bit more with 'quick maths' to better solve these questions, is to break it down into component calculations. For example, 35% of 20... if you remember that 10% of something is 1/10 of it, then 10% of 20 gallons is 2 gallons, and you can just multiple 2 by 3.5 to get 7. Saves thinking too much about decimal points and all that.

Similarly with the next part of the calc, if multiplying 7 by 2.5 directly fries your brain a bit, then multiply 7 by 2 first to get 14. Then take 7*0.5 (or think of it better as 7/2) to get 3.5, and add it on. I find a number of GMAT test takers come from entirely non-math backgrounds, so hopefully that helps.

Anyways, answer is D.
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A tank that was 40% full of oil was emptied into a 20-gallon bucket.  [#permalink]

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New post 10 Jun 2018, 14:33
Bunuel wrote:
A tank that was 40% full of oil was emptied into a 20-gallon bucket. If the oil fills 35% of the bucket’s volume, then what is the total capacity of the tank, in gallons?

(A) 8.75
(B) 15
(C) 16
(D) 17.5
(E) 19

Find the # of gallons of oil from the bucket
Reverse the process: find the capacity of the tank from the number of gallons of oil

1) # of gallons of oil?
20-gallon total capacity becomes 35% full when oil is poured in
35% of 20 = # of gallons of oil
\((20 * .35) = 7\) gallons of oil

2) Capacity of TANK?
7 gallons of oil equaled 40 percent of a full tank's capacity, T
\(7 = (.40*T)\)
\(T =\frac{7}{.4}=\frac{70}{4}=17.5\)

Answer D
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A tank that was 40% full of oil was emptied into a 20-gallon bucket. &nbs [#permalink] 10 Jun 2018, 14:33
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