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# A certain bread recipe calls for whole wheat flour, white

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Joined: 06 Mar 2012
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A certain bread recipe calls for whole wheat flour, white [#permalink]  15 Mar 2012, 18:22
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A certain bread recipe calls for whole wheat flour, white flour, and 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 loaves of bread.
(2) Two more cups of whole wheat flour than white flour are needed for every loaf.

[Reveal] Spoiler: OA

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Last edited by Bunuel on 16 Mar 2012, 00:43, edited 1 time in total.
Edited the question
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Re: Ratios [#permalink]  16 Mar 2012, 00:40
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A certain bread recipe calls for whole wheat flour, white flour, and oat flour in the ratio of 3 : 2 : 1, respectively. How many cups of oat flour are needed to make a loaf of bread?

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 whole 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 whole wheat flour 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, white [#permalink]  20 Mar 2014, 08:47
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Re: A certain bread recipe calls for whole wheat flour, white   [#permalink] 20 Mar 2014, 08:47
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