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

Expert Reply

Question Stats:

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

_________________

Indicate all such numbers.

A. 6

B. 7

C. 36

D. 45

E. 63

_________________

Sandy

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

2

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.

Posted from my mobile device

_________________

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.

Posted from my mobile device

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos

Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
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

thus using the option we can check which is divisible by 3.5 to obtain x

Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
15 Apr 2019, 03:36

Answer should be A and C.

Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
15 Apr 2019, 13:46

3

Expert Reply

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

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

_________________

Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
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

Indicate two such numbers.

A. 6

B. 7

C. 36

D. 45

E. 63

please edit the question format.

_________________

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Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
12 Oct 2020, 02:52

1

from given info we can say

x+x/2+x = answer optios

7x/2 = answer options

7,63

x+x/2+x = answer optios

7x/2 = answer options

7,63

Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
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?

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

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

Is my understanding correct?

Re: A pantry holds x cans of beans, twice as many cans of soup,
[#permalink]
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?

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://greprepclub.com/forum/gre-quant ... 22642.html

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

regards

_________________

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Questions' Banks and Collection:

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