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A certain bread recipe calls for whole wheat flour, white

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

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New post Updated on: 16 Mar 2012, 01:43
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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.

Would someone please clarify this problem for me? Thanks in advance.

Originally posted by damham17 on 15 Mar 2012, 19:22.
Last edited by Bunuel on 16 Mar 2012, 01:43, edited 1 time in total.
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Re: Ratios  [#permalink]

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New post 16 Mar 2012, 01:40
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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.

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

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New post 13 Dec 2017, 06:39
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I couldn't get the question for a bit. But then I viewed it as a 'word problem'

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.

3 loaves = 15 x [(3x + 2x +x) taken 5 times]
In addition, 30 = 3x +2x(taken 3 times) We can accordingly figure the oatmeal amount

(2) Two more cups of whole wheat flour than white flour are needed for every loaf
This changes the given proportion by 2 -->3(2) - 4 -(2)1. So we get oatmeal again

Experts, please request your input if my approach was wrong.
Kudos if it was useful for you :)
GMAT Club Bot
Re: A certain bread recipe calls for whole wheat flour, white &nbs [#permalink] 13 Dec 2017, 06:39
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A certain bread recipe calls for whole wheat flour, white

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