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

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Brent
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink]
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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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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink]
1
from given info we can say
x+x/2+x = answer optios
7x/2 = answer options
7,63
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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink]
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]
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]
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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Re: A pantry holds x cans of beans, twice as many cans of soup, [#permalink]
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