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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.
(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.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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.
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.
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
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
