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29 Oct 2010, 11:08
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D
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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.
(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.
29 Oct 2010, 11:33
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azule45
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.
General Discussion
11 Feb 2011, 00:59
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gary391
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.
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