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

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sandy
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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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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
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B,E
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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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ARIJOSHI
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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
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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
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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



please edit the question format.
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daina1323031
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post   12 Oct 2020, 02:52
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from given info we can say
x+x/2+x = answer optios
7x/2 = answer options
7,63
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ThisIsWater
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post   19 May 2021, 09:16
Carcass and GreenlightTestPrep, can you please help me with the below wording.

twice as many X as Y => X = 2Y
X is twice as many Y => X = 2Y

Is my understanding correct?
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post   19 May 2021, 09:45
Expert Reply
ThisIsWater wrote:
Carcass and GreenlightTestPrep, can you please help me with the below wording.

twice as many X as Y => X = 2Y
X is twice as many Y => X = 2Y

Is my understanding correct?


it is correct Sir

OR

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

Pretty straight and efficient

See our directory all you need for quant https://gre.myprepclub.com/forum/gre-quant ... 22642.html

and our math book word problem translation https://gre.myprepclub.com/forum/gre-quant ... tml#p52458

regards
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink] New post   09 Sep 2021, 20:49
Beans = b
Soup = s
Tomato = t

b : s = 2 : 1

b : t = 1 : 2 = 2 : 4

So, b : s : t = 2: 1 : 4
=> Total = 2 + 1 + 4 = 7

The total count could be 7 or multiples of 7. Ans: B, E
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