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A certain recipe calls for 2 cups of sugar and cups of flour

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SVP
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Joined: 07 Jun 2014
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A certain recipe calls for 2 cups of sugar and cups of flour [#permalink] New post 11 May 2017, 06:01
Expert's post
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A
B
C
D
E

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Question Stats:

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A certain recipe calls for 2 cups of sugar and 3\frac{1}{2} cups of flour. What is the ratio of sugar to flour in this recipe?

A. \frac{3}{10}
B. \frac{2}{5}
C. \frac{4}{7}
D. \frac{4}{5}
E. \frac{6}{7}

Drill 1
Question: 1
Page: 336
[Reveal] Spoiler: OA

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SVP
SVP
User avatar
Joined: 07 Jun 2014
Posts: 1729
GRE 1: 323 Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 35

Kudos [?]: 529 [0], given: 115

Re: A certain recipe calls for 2 cups of sugar and cups of flour [#permalink] New post 31 May 2017, 07:24
Expert's post
Explanation

A ratio is a part-to-part relationship, but it can be expressed and manipulated just like a fraction—in this case, 3 \div 3\frac{1}{2}. None of the answers have a fractional value in the denominator, so you need to find a multiplier that will get rid of the fraction. In this case, just doubling the entire ratio will do the trick:

3 \div 3\frac{1}{2} \times \frac{2}{2} = \frac{4}{7}.

Hence option C is correct!
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Re: A certain recipe calls for 2 cups of sugar and cups of flour [#permalink] New post 06 Jun 2017, 16:19
Expert's post
sandy wrote:
A certain recipe calls for 2 cups of sugar and 3 1/2 cups of flour. What is the ratio of sugar to flour in this recipe?

A. \frac{3}{10}
B. \frac{2}{5}
C. \frac{4}{7}
D. \frac{4}{5}
E. \frac{6}{7}

[/b][/textarea]


sugar/flour = (2)/(3 1/2)
Check answer choices....not there. We must rewrite (2)/(3 1/2) as an EQUIVALENT RATIO
Take (2)/(3 1/2) and multiply top and bottom by 2 to get: 4/7

Answer:
[Reveal] Spoiler:
C


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Re: A certain recipe calls for 2 cups of sugar and cups of flour   [#permalink] 06 Jun 2017, 16:19
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