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505-555 (Easy)|   Fractions and Ratios|   Percent and Interest Problems|                           
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BLTN
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A total of 5 liters of gasoline is to be poured into two empty contain 22 Oct 2021, 07:31
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The question becomes easy when we can visualize.
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A total of 5 liters of gasoline is to be poured into two empty contain 06 Nov 2021, 07:35
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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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A total of 5 liters of gasoline is to be poured into two empty contain 04 Dec 2021, 12:34
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My solution.

1/2 * 2x + 1/2 * 6x = 5

x + 3x = 5

4x = 5

x = 5/4

Substitute 5/4 into the 1/2 * 6x

And you get 15/4 = 3 3/4

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A total of 5 liters of gasoline is to be poured into two empty contain 22 Feb 2022, 03:57
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We need to divide 5lts in two containers such that bith are filled "to the same percent of their respective capacities"

Let's consider 50% i.e. 1/2 of the respective capacities. How many liters do we need to pour in the first container to get 50% filled? --> 1 liter

Similarly, how many liters do we need to pour in the second container to get 50%? --> 3 liters.

Now 1 + 3 = 4 liters while we have a total of 5 liters. In other words, the extra 1 liter will be divided into two containers.

So we can say that the second container will have a little more than 3 liters ---> (C)
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A total of 5 liters of gasoline is to be poured into two empty contain 27 Feb 2022, 02:10
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Since x is a constant ratio. Let x be the ratio used to determine the amount (in liters) of gasoline.

2(x) + 6(x) = 5
8x = 5
x = 5/8

To determine amount in the 6-liter container, we multiply x with 6.

5/8 * 6 = \(3\frac{3}{4}\)

∴ Answer is C
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A total of 5 liters of gasoline is to be poured into two empty contain 06 May 2022, 19:50
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Another way to solve (albeit, a little less efficient);

Consider that the proportions of both tanks have to be equal, therefore;

"Y liters / 6 liters of capacity = X liters / 2 liters of capacity"

And consider also;

"Y liters + X liters = 5 liters"

With this in mind, cross-multiply the first equation and solve for X. Once X has been isolated, substitute into the second equation to yield;

"Y = 15 / 4 = (3) (3 / 4)"

Therefore, our answer will be C.
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A total of 5 liters of gasoline is to be poured into two empty contain 10 May 2022, 00:45
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2x+6x = 5
x = 5/8

For 6 Ltr container: 6*(5/8) = 15/4 = Ans C
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A total of 5 liters of gasoline is to be poured into two empty contain 01 Aug 2022, 10:06
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nalinnair
A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?

A. 4\(\frac{1}{2}\)

B. 4

C. 3\(\frac{3}{4}\)

D. 3

E. 1\(\frac{1}{4}\)
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Quick, no-formula logic method in 1'15":

Since proportion needs to be equal, assume 50% of the 2L and 6L are filled, making the amount of gas to be 1+3 = 4L. This is not enough, so right away we can eliminate C and E.

To creep up to a total of 5L, we can up the proportion to 60%. Adding 10% to each of the initial amounts of gas, you get: 1+ 0.1 = 1.1, and 3+0.6=3.6, which is just under 5.

Closest answer to 3.6 is 3.75, making up for the gap to 5.
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A total of 5 liters of gasoline is to be poured into two empty contain 22 Oct 2024, 02:07
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Step 1:
Let the amount of gasoline in the 2-liter container be x.
The amount in the 6-liter container is y = 3x (since they are filled to the same percentage).
Step 2:
The total gasoline is 5 liters, so:
x + 3x = 5
4x = 5
x = 1.25
Step 3:
The amount of gasoline in the 6-liter container is:
y = 3 * 1.25 = 3.75 liters
Final Answer:
(C) 3 3/4
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A total of 5 liters of gasoline is to be poured into two empty contain 31 Jul 2025, 22:51
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The Quickest Way of this could be.....

You have 5 Litres..First pour 1 litre and 3 Litre ..thats 50% capacity each..Now you are left with 1 litre.....that has to be divided in the ratio of 1:3...So the answer should be above 3 but less than 4... C fits.

nalinnair
A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?

A. 4\(\frac{1}{2}\)

B. 4

C. 3\(\frac{3}{4}\)

D. 3

E. 1\(\frac{1}{4}\)
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A total of 5 liters of gasoline is to be poured into two empty contain 17 Sep 2025, 08:40
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Let the same percentage be X
X%of 6 + X%of 2 = 5
X=62.5

Therefore, 62.5%of 6 = 3.750 = 3 3⁄4
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