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A certain bread recipe calls for wheat, white flour, and oat

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A certain bread recipe calls for wheat, white flour, and oat [#permalink]

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A certain bread recipe calls for wheat, white flour, and oats in the ratio of 3:2:1. How many cups of oats are needed to make a loaf of bread?

(1) a total of 30 cups of wheat and white flour are needed to make 3 loaves of bread.
(2) two more cups of wheat than white flour are needed for every loaf.
[Reveal] Spoiler: OA

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Re: Ratio Data Sufficiency [#permalink]

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New post 29 Oct 2010, 11:33
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azule45 wrote:
a certain bread recipe calls for wheat, white flour, and oats in the ratio of 3:2:1. How many cups of oats are needed to make a loaf of bread?

I. a total of 30 cups of wheat and white flour are needed to make 3 loaves of bread.
II. two more cups of wheat than white flour are needed for every loaf.


Given: \(\frac{wheat}{\frac{white}{oats}}=\frac{3x}{\frac{2x}{x}}\), where \(x\) is some multiple to get 1 loaf of bread (so for 1 loaf of bread \(3x\) cups of wheat flour, \(2x\) cups of white flour and \(x\) cups of oats flour are needed). Question: \(x=?\)

(1) A total of 30 cups of wheat and white flour are needed to make 3 loaves of bread --> so for one loaf of bread 30/3=10 cups of wheat and white flour are needed --> \(3x+2x=10\) --> \(x=2\). Sufficient.

(2) Two more cups of wheat than white flour are needed for every loaf --> \(3x=2x+2\) --> \(x=2\). Sufficient.

Answer: D.
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Re: A certain bread recipe calls for whole wheat flour.. [#permalink]

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gary391 wrote:
A certain bread recipe calls for whole wheat flour, white flour, & oat flour in the ratio of 3:2:1, respectively. How many cups of oat flour are needed to make a loaf of bread?

1) A total of 30 cups of whole wheat and white flour are needed to make 3 loafs of bread.

2) Two more cups of whole wheat flour than white flour are needed for every loaf.


flours required (in # of cups) are in the ratio \(3:2:1\)
hence we can safely write the amounts (in # of cups) required as \(3x, 2x, x\)
Asked: what is x (i.e. the # of cups of oat flour required)

stmnt1:
30 cups for 3 loafs
==> 10 cups for 1 loaf
==> \(3x+2x = 10\)
==> \(x=2\)
Sufficient

stmnt2:
\(3x=2x+2\)
==>\(x=2\)
Sufficient

Answer D.

Regards,
Murali.

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Re: A certain bread recipe calls for whole wheat flour.. [#permalink]

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New post 11 Feb 2011, 08:26
Thanks Murali, for the reply. I was searching for similar problems on Ratio DS- A came across another way of looking at this problem:
Stmnt1: From the question Stmnt 1 - we have a linear equation in one variable - Hence we can have a solution =>Sufficient
Stment2: From the question Stmnt 2- we have a linear equation in one variable - Hence we can have a solution =>Sufficient

Hence, the problem can be solved without doing any math.

Thanks,
Gary

muralimba wrote:
gary391 wrote:
A certain bread recipe calls for whole wheat flour, white flour, & oat flour in the ratio of 3:2:1, respectively. How many cups of oat flour are needed to make a loaf of bread?

1) A total of 30 cups of whole wheat and white flour are needed to make 3 loafs of bread.

2) Two more cups of whole wheat flour than white flour are needed for every loaf.


flours required (in # of cups) are in the ratio \(3:2:1\)
hence we can safely write the amounts (in # of cups) required as \(3x, 2x, x\)
Asked: what is x (i.e. the # of cups of oat flour required)

stmnt1:
30 cups for 3 loafs
==> 10 cups for 1 loaf
==> \(3x+2x = 10\)
==> \(x=2\)
Sufficient

stmnt2:
\(3x=2x+2\)
==>\(x=2\)
Sufficient

Answer D.

Regards,
Murali.

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Re: Ratio Data Sufficiency [#permalink]

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New post 12 Feb 2011, 14:10
1 Was easy, but for 2 it is saying 2 more cups, at first it might come as since it is a ratio you never know if we can find absolute value. but the values of 6 and 4 is the only time when the absolute value is the difference of 2 between the wheat and white flour.
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Re: A certain bread recipe calls for wheat, white flour, and oat [#permalink]

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Re: A certain bread recipe calls for wheat, white flour, and oat [#permalink]

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New post 28 Nov 2015, 01:49
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Re: A certain bread recipe calls for wheat, white flour, and oat [#permalink]

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New post 20 May 2017, 11:54
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Re: A certain bread recipe calls for wheat, white flour, and oat   [#permalink] 20 May 2017, 11:54
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