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In a certain salad, the ratio, by weight, of potatoes to boiled eggs

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Bunuel
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In a certain salad, the ratio, by weight, of potatoes to boiled eggs [#permalink] New post   02 May 2022, 01:30
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In a certain salad, the ratio, by weight, of potatoes to boiled eggs is double the ratio, by weight, of boiled eggs to green peas. If the weight of the eggs in the salad is half the weight of the potatoes, then what is the ratio, by weight, of potatoes to green peas in the salad?

(A) 1:4
(B) 1:2
(C) 1:1
(D) 2:1
(E) 4:1




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Re: In a certain salad, the ratio, by weight, of potatoes to boiled eggs [#permalink] New post   02 May 2022, 08:11
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Let the weight of potatoes in the salad = 200 gms; then,
Weight of eggs in the salad is 100 gms.

Ratio of weight of potatoes to boiled eggs = 2 : 1
Ratio of weight of potatoes to boiled eggs = Double (Ratio of boiled eggs to green peas)

Doubling a ratio is the process of multiplying the first term of the ratio by 2, while keeping the second term the same.

Applying this to this question, we have,

2 : 1 = 2 (Ratio of Boiled eggs to green peas)

Therefore, Ratio of boiled eggs to green peas MUST BE 1 : 1.
The correct answer option is C.
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Re: In a certain salad, the ratio, by weight, of potatoes to boiled eggs [#permalink] New post   02 May 2022, 08:25
GMATWhizTeam wrote:
Let the weight of potatoes in the salad = 200 gms; then,
Weight of eggs in the salad is 100 gms.

Ratio of weight of potatoes to boiled eggs = 2 : 1
Ratio of weight of potatoes to boiled eggs = Double (Ratio of boiled eggs to green peas)

Doubling a ratio is the process of multiplying the first term of the ratio by 2, while keeping the second term the same.

Applying this to this question, we have,

2 : 1 = 2 (Ratio of Boiled eggs to green peas)

Therefore, Ratio of boiled eggs to green peas MUST BE 1 : 1.
The correct answer option is C.


I think the question is asking for ratio of potato to green peas and not egg to green peas. So the answer is 2:1 i guess

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Re: In a certain salad, the ratio, by weight, of potatoes to boiled eggs [#permalink] New post   02 May 2022, 08:40
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Given: In a certain salad, the ratio, by weight, of potatoes to boiled eggs is double the ratio, by weight, of boiled eggs to green peas.

Asked: If the weight of the eggs in the salad is half the weight of the potatoes, then what is the ratio, by weight, of potatoes to green peas in the salad?

Let the weight of potatoes, boiled eggs and green peas be p, b & g respectively.

In a certain salad, the ratio, by weight, of potatoes to boiled eggs is double the ratio, by weight, of boiled eggs to green peas.
p/b = 2b/g

The weight of the eggs in the salad is half the weight of the potatoes
b/p = 1/2

b/g = 1; b = g

p/g = p/b = 2

IMO D
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Re: In a certain salad, the ratio, by weight, of potatoes to boiled eggs [#permalink] New post   02 May 2022, 22:02
Starting from
"the weight of the eggs in the salad is half the weight of the potatoes"
=> the ratio, by weight, of potatoes to boiled eggs is 2:1

2:1 is "double the ratio, by weight, of boiled eggs to green peas"
=> the ratio, by weight, of boiled eggs to green peas is 1:1

So potatoes : boiled eggs : green peas = 2:1:1
the ratio, by weight, of potatoes to green peas in the salad is thus 2:1

The answer is thus (D).
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Re: In a certain salad, the ratio, by weight, of potatoes to boiled eggs [#permalink]
02 May 2022, 22:02
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