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Manager  Joined: 19 May 2008
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Location: Mumbai
What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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15 00:00

Difficulty:   35% (medium)

Question Stats: 65% (01:06) correct 35% (01:08) wrong based on 630 sessions

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What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?

(1) The number of cups of flour required in the recipe is 250 percent of the number of cups of sugar required in the recipe.

(2) $$1\frac{1}{2}$$ more cups of flour than cups of sugar are required in the recipe.

I got the wrong answer and I now know the correct answer but need the rationale - could someone tell me the answer and the rationale behind the answer? Thanks. I'll post the OA later.

Originally posted by tharunv on 26 Oct 2008, 15:34.
Last edited by Bunuel on 17 Oct 2019, 05:19, edited 4 times in total.
Director  Joined: 30 Jun 2008
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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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tharunv wrote:
What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?
(1) The number of cups of flour required in the recipe is 250% of the number of cups of sugar required in the recipe
(2) 1 1/2 more cups of flour than cups of sugar are required in the recipe.

I got the wrong answer and I now know the correct answer but need the rationale - could someone tell me the answer and the rationale behind the answer? Thanks. I'll post the OA later.

The question is asking -- what is f/s ?

(1) f = 250%(s) = (250*s)/100 ------ f/s = 5/2 ---- sufficient
(2) f = s + s(1 1/2) = s + (3*s)/2 = (5*s)/2 ------ f/s = 5/2 ---- sufficient

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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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amitdgr wrote:
The question is asking -- what is f/s ?

(1) f = 250%(s) = (250*s)/100 ------ f/s = 5/2 ---- sufficient
(2) f = s + s(1 1/2) = s + (3*s)/2 = (5*s)/2 ------ f/s = 5/2 ---- sufficient

stmt2 says, f = s + 3/2 and hence, f/s cannot be determinded.
Senior Manager  Joined: 25 Oct 2008
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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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Quote:
f = s + s(1 1/2) = s + (3*s)/2 = (5*s)/2 ------ f/s = 5/2 ---- sufficient

Guys why is this wrong?whats the silly mistake here I am unable to understand..
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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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Tejal,

You might want to re-read the stmt-2. 3/2 more cups is different from 3/2 times more cups. when it says times, you can take s + s(3/2) but it's just a cup and half over s so s + 3/2.

Infact, I too got the answer wrong, thought it was D and later figured out what was wrong, with my reading!!!!
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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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nikhilsrl wrote:
What is the ratio of number of cups of flour to number of cups of sugar in a cake recipe?

1) The number of cups of flour required in the reciped is 250% of number of cups of sugar required.
2) 1.5 more cups of flour than cups of of sugar are required in the recipe

OA is provided.

Why not D. I am not clear why option (2) cannot give the ratio.

Let the number of cups of flour = F
Let the number of cups of sugar = S

Q: What is F/S=?

1.
F=2.5S
F/S=2.5
Sufficient.

2. F=1.5+S

Say; S=10; F=11.5
F/S = 11.5/10=1.15

S=100;F=101.5
F/S=101.5/100=1.015

Not Sufficient.

Ans: "A"
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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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From (1)

F/C = 250 % = 250/100, so enough (the ratio can be found = 2.5)

Sufficient

From (2)

F = C + 1.5

Ratio can't be found

So not sufficient

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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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following a 'don't solve' approach, we can see that the question is focused on ratios (i.e proportions of a mixture) and needs the relationship between flour and sugar to be expressed in terms of a multiplier, fraction, percentage or two fixed values for the quantities involved.

1) sets out a relationship between the only two ingredients of the mixture, based on percentages *sufficient*.

2) sets out a relationship on a numerical value. For a proportion this won't work, as 1.5 cups to 3 cups is a very different proportion to a possible 100 cups to 101.5 *insufficient*

A is your answer and hopefully without pausing to work out all the numbers you have banked yourself a minute or so extra for later in the quant section (though with your having a Q50, I'll be the one asking your advice!!) Director  Joined: 29 Nov 2012
Posts: 685
Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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Statement 2 is

F = s + 1.5?

Is this correct
Math Expert V
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Posts: 59721
Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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fozzzy wrote:
What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?

(1) The number of cups of flour required in the recipe is 250% of the number of cups of sugar required in the recipe
(2) 1 1/2 more cups of flour than cups of sugar are required in the recipe.

Statement 2 is

F = s + 1.5?

Is this correct

Yes, (2) translates: F = S + 3/2.
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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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fozzzy wrote:
Statement 2 is

F = s + 1.5?

Is this correct

Yes. I also chose D at first but in retrospect the question is easy if you read the word problem correctly.

Statement 1 says F = S multiplied by something, because it states '250% of y' of = times = *
Statement 2 says F = S + 1.5 indeed, as the wording 'x more ... than y' = y + x

The first statement thus gives you a ratio (sufficient), the second does not as F could equal 5.5 and S 4 cups. Or F could equal 7 and S 5.5 cups which give different ratios.

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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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1
1
Let's say
1)
x = sugar
5/2x = flour
5/2:1 establishes the ratio. This is sufficient.

2) x=sugar
x + 3/2 = flour
x=1 and then flour could be 5/2 or
x=2 and then flour could be 7/2..Since this variable, this is not sufficient.

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Re: What is the ratio of the number of cups of flour to the number of cups  [#permalink]

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Should 250% more not be 3.5?
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Good luck to you. Re: What is the ratio of the number of cups of flour to the number of cups   [#permalink] 09 Nov 2019, 07:19
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