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andrewjohn8
GMAT Focus 1: 645 Q80 V88 DI78 
Posts: 33
11 May 2024, 16:17
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Large: 50
Combined: 70
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
87% (02:02) correct
13%
(03:07)
wrong
based on 552
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A local paint store sells a certain solvent in containers of two sizes--small and large. The capacity, in liters, of 5 small containers is the same as the capacity, in liters, of 2 large containers.
Select for Large and for Combined numbers of liters that are jointly consistent with the given information and that could represent the capacity of 1 large container and the combined capacity of 1 small and 1 large container. Make only two selections, one in each column.
Select for Large and for Combined numbers of liters that are jointly consistent with the given information and that could represent the capacity of 1 large container and the combined capacity of 1 small and 1 large container. Make only two selections, one in each column.
| Large | Combined | |
| 45 | ||
| 50 | ||
| 55 | ||
| 60 | ||
| 65 | ||
| 70 |
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Official Answer
Large: 50
Combined: 70
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11 May 2024, 16:41
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A local paint store sells a certain solvent in containers of two sizes--small and large. The capacity, in liters, of 5 small containers is the same as the capacity, in liters, of 2 large containers.
Select for Large and for Combined numbers of liters that are jointly consistent with the given information and that could represent the capacity of 1 large container and the combined capacity of 1 small and 1 large container. Make only two selections, one in each column.
Let S be the capacity of a small container.
The capacity of a large container is 5S/2.
So, the ratio of the capacity of a large container to the combined capacity of one small and one large container is the following:
5S/2 : S + 5S/2
5S/2 : 7S/2
5 : 7
So, the answers for Large and Combined must be in the ratio of 5 to 7.
45
50
55
60
65
70
The only two choices that are in the ratio of 5 : 7 are 50 and 70.
Correct answer: 50, 70
Select for Large and for Combined numbers of liters that are jointly consistent with the given information and that could represent the capacity of 1 large container and the combined capacity of 1 small and 1 large container. Make only two selections, one in each column.
Let S be the capacity of a small container.
The capacity of a large container is 5S/2.
So, the ratio of the capacity of a large container to the combined capacity of one small and one large container is the following:
5S/2 : S + 5S/2
5S/2 : 7S/2
5 : 7
So, the answers for Large and Combined must be in the ratio of 5 to 7.
45
50
55
60
65
70
The only two choices that are in the ratio of 5 : 7 are 50 and 70.
Correct answer: 50, 70
11 May 2024, 20:56
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andrewjohn8
The capacity of a small(s):large(l) container is 2:5, so if we take common ratio as x, then s and c become 2x and 5x.
We are looking for l: (s+l) = 5x:7x
So the s+l should be multiple of 7: Only 70 possible
s+l=7x=70, so x=10 and l becomes 5x or 5*10 or 50
