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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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29 Oct 2010, 10:08
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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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29 Oct 2010, 10:33
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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.

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

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10 Feb 2011, 23:59
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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

Regards,
Murali.

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

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11 Feb 2011, 07:26
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

Regards,
Murali.

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Re: Ratio Data Sufficiency [#permalink]

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12 Feb 2011, 13:10
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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08 Nov 2014, 09:26
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Re: A certain bread recipe calls for wheat, white flour, and oat [#permalink]

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28 Nov 2015, 00:49
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Re: A certain bread recipe calls for wheat, white flour, and oat [#permalink]

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20 May 2017, 10:54
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Re: A certain bread recipe calls for wheat, white flour, and oat   [#permalink] 20 May 2017, 10:54
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# A certain bread recipe calls for wheat, white flour, and oat

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