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# If tank X contains only gasoline, how many kiloliters of gasoline are

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Math Expert
Joined: 02 Sep 2009
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If tank X contains only gasoline, how many kiloliters of gasoline are  [#permalink]

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08 Jul 2018, 23:40
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Project DS Butler: Day 33: Data Sufficiency (DS65)

If tank X contains only gasoline, how many kiloliters of gasoline are in tank X.

(1) If 1/2 of the gasoline in tank X were pumped out, the tank would be fillef to 1/3 of its capacity.

(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

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Re: If tank X contains only gasoline, how many kiloliters of gasoline are  [#permalink]

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09 Jul 2018, 00:06
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1
If tank X contains only gasoline, how many kiloliters of gasoline are in tank X.

(1) If 1/2 of the gasoline in tank X were pumped out, the tank would be filled to 1/3 of its capacity.

The values given are % of the total capacity and NO numeric value is given so insufficient
If $$\frac{1}{2}$$ is pumped out, HALF will remain so $$\frac{1}{2} = \frac{1}{3}- of -Total$$
so present volume is $$2*\frac{1}{3} = \frac{2}{3}$$
but no numeric value
insuff

(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.
nothing on present status..
we can say present = total - 0.75
insuff

combined
present volume = $$\frac{2}{3}$$ of total capacity = $$\frac{2T}{3}$$, which is 0.75 less than total
$$2\frac{T}{3} = T-0.75..............\frac{T}{3}=0.75................t=3*0.75$$
suff

C
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are  [#permalink]

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24 Dec 2018, 23:37
2
Bunuel wrote:

Project DS Butler: Day 33: Data Sufficiency (DS65)

If tank X contains only gasoline, how many kiloliters of gasoline are in tank X.

(1) If 1/2 of the gasoline in tank X were pumped out, the tank would be filled to 1/3 of its capacity.

(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

Let's define "x" as the # of kiloliters of gasoline in tank X.
Let's define "n" as the max capacity of tank X.

Statement 1:
x - x/2 = n/3 (in english: the current level of gasoline in tank x minus half the current amount will equal to 1/3 of the total capacity)
This is INSUFF because we have two variables

Statement 2:
x + 3/4 = n
Once again we have two variables, so this is INSUFF

Combined:
We have two equations so let's solve for a variable.

x - x/2 = n/3 -> 3x = 2n (cross multiply)
(x + 3/4 = n) * 2 = 2x + 6/4 = 2n

Subtract out "n" from above to get: x - 6/4 = 0
In other words the max capacity of tank X is 6/4 Kiloliters.
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are  [#permalink]

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25 Dec 2018, 00:52
In such questions there is even no need to solve
1. gives relative values- this constitutes equation 1
2. gives fixed value- this constitutes equation 2

Now when fixed value is substituted in relative value equation this would give the answer, hence C
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are   [#permalink] 25 Dec 2018, 00:52
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