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A certain bread recipe calls for wheat, white flour, and oat [#permalink]
29 Oct 2010, 10:08

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Difficulty:

55% (hard)

Question Stats:

61% (02:21) correct
39% (01:19) wrong based on 229 sessions

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.

Re: Ratio Data Sufficiency [#permalink]
29 Oct 2010, 10:33

Expert's post

3

This post was BOOKMARKED

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.

A certain bread recipe calls for whole wheat flour.. [#permalink]
10 Feb 2011, 21:55

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.

A certain bread recipe calls for whole wheat flour.. [#permalink]
10 Feb 2011, 21:55

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.

Re: A certain bread recipe calls for whole wheat flour.. [#permalink]
10 Feb 2011, 23:59

1

This post received KUDOS

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

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

Re: Ratio Data Sufficiency [#permalink]
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.

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

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