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# A refrigerator holds a number of apples, bananas, carrots and dates. I

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Senior Manager
Joined: 26 Dec 2015
Posts: 256
Location: United States (CA)
Concentration: Finance, Strategy
WE: Investment Banking (Venture Capital)
A refrigerator holds a number of apples, bananas, carrots and dates. I  [#permalink]

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22 Dec 2017, 11:59
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:52) correct 32% (01:48) wrong based on 50 sessions

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A refrigerator holds a number of apples, bananas, carrots and dates. If the ratio of apples to bananas is 2 to 5 and the ratio of carrots to dates is 3 to 7, then what is the ratio of apples to dates?

(1) The ratio of bananas to carrots is 50 to 21

(2) The total number of apples, bananas, carrots and dates is 280
Manager
Joined: 05 Nov 2015
Posts: 62
Location: India
Re: A refrigerator holds a number of apples, bananas, carrots and dates. I  [#permalink]

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22 Dec 2017, 22:07
A refrigerator holds a number of apples, bananas, carrots and dates. If the ratio of apples to bananas is 2 to 5 and the ratio of carrots to dates is 3 to 7, then what is the ratio of apples to dates?

(1) The ratio of bananas to carrots is 50 to 21

(2) The total number of apples, bananas, carrots and dates is 280

Solution:
(1) a:b = 2:5 // c:d = 3:7 // b:c = 50:21 --> a:b:c:d = 20:50:21:49 --> apples to dates = 20:49 -- Sufficient

(2) 7x +10y = 280 -- can not be solved further -- not-sufficient

Ans: - A
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Joined: 18 Aug 2016
Posts: 623
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
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Re: A refrigerator holds a number of apples, bananas, carrots and dates. I  [#permalink]

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22 Dec 2017, 22:31
LakerFan24 wrote:
A refrigerator holds a number of apples, bananas, carrots and dates. If the ratio of apples to bananas is 2 to 5 and the ratio of carrots to dates is 3 to 7, then what is the ratio of apples to dates?

(1) The ratio of bananas to carrots is 50 to 21

(2) The total number of apples, bananas, carrots and dates is 280

A:B::2:5
C:D::3:7

(1) B:C::50:21

A:B:C:D::20:50:21:49
A:D::20:49
Sufficient

A+B+C+D = 280
A, B, C, D can be 20, 50, 63, 147 or 40, 100, 42, 98 or 60, 150, 21, 49
Not sufficient

A
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Re: A refrigerator holds a number of apples, bananas, carrots and dates. I   [#permalink] 22 Dec 2017, 22:31
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