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A pantry holds x cans of beans, twice as many cans of soup,

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A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post 19 Aug 2018, 03:15
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Question Stats:

73% (00:44) correct 26% (00:48) wrong based on 15 sessions
A pantry holds x cans of beans, twice as many cans of soup, and half as many cans of tomato paste as there are cans of beans. If there are no other cans in the pantry, which of the following could be the total number of cans in the pantry?

Indicate all such numbers.

A. 6
B. 7
C. 36
D. 45
E. 63
[Reveal] Spoiler: OA

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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post 20 Aug 2018, 21:29
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From question stem,

x+2x+0.5x = total number of cans in the pantry
3.5x is the total number of cans in the pantry.

Equate each ans choice with 3.5x only option B and E gives integer value for x.

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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post 31 Aug 2018, 22:01
the cans will be x+2x+0.5x
thus using the option we can check which is divisible by 3.5 to obtain x
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post 15 Apr 2019, 03:36
Answer should be A and C.
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post 15 Apr 2019, 13:46
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sandy wrote:
A pantry holds x cans of beans, twice as many cans of soup, and half as many cans of tomato paste as there are cans of beans. If there are no other cans in the pantry, which of the following could be the total number of cans in the pantry?

Indicate two such numbers.

A. 6
B. 7
C. 36
D. 45
E. 63


x = number of cans of beans
2x = number of cans of soup
0.5x = number of cans of tomato paste

TOTAL number of cans = x + 2x + 0.5x = 3.5x

Since the total number of cans must be an INTEGER, 3.5x must be an INTEGER, which means x must be even

If x = 2, then the TOTAL number of cans = 7
If x = 4, then the TOTAL number of cans = 14
If x = 6, then the TOTAL number of cans = 21
If x = 8, then the TOTAL number of cans = 28
If x = 10, then the TOTAL number of cans = 35
.
.
.
As we can see, the TOTAL number of cans will always be divisible by 7

Check the answer choices . . . B and E are divisible by 7.

Answer: B, E

Cheers,
Brent
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post 10 Jul 2019, 04:46
sandy wrote:
A pantry holds x cans of beans, twice as many cans of soup, and half as many cans of tomato paste as there are cans of beans. If there are no other cans in the pantry, which of the following could be the total number of cans in the pantry?

Indicate two such numbers.

A. 6
B. 7
C. 36
D. 45
E. 63



please edit the question format.
Re: A pantry holds x cans of beans, twice as many cans of soup,   [#permalink] 10 Jul 2019, 04:46
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A pantry holds x cans of beans, twice as many cans of soup,

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