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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.
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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. Answer: D.
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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 Answer D. Regards, Murali. Kudos?



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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 Answer D. Regards, Murali. Kudos?



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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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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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