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

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

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New post 22 Dec 2017, 12:59
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:09) correct 29% (01:14) wrong based on 45 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
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Re: A refrigerator holds a number of apples, bananas, carrots and dates. I  [#permalink]

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New post 22 Dec 2017, 23:07
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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Re: A refrigerator holds a number of apples, bananas, carrots and dates. I  [#permalink]

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New post 22 Dec 2017, 23:31
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 &nbs [#permalink] 22 Dec 2017, 23:31
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