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

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A certain recipe calls for 2 cups of sugar and cups of flour [#permalink]  11 May 2017, 06:01
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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}

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[Reveal] Spoiler: OA

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

[Reveal] Spoiler:
C

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Re: A certain recipe calls for 2 cups of sugar and cups of flour [#permalink]  06 Sep 2017, 05:20
I am not sure this is the right place to ask, but, when it is written 3\frac{1}{2} does it mean 3.5 or 3*\frac{1}{2}=\frac{3}{2}?
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Re: A certain recipe calls for 2 cups of sugar and cups of flour [#permalink]  06 Sep 2017, 11:16
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IlCreatore wrote:
I am not sure this is the right place to ask, but, when it is written 3\frac{1}{2} does it mean 3.5 or 3*\frac{1}{2}=\frac{3}{2}?

The second one you said or 1.5.

Hope now is clear.

regards
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Re: A certain recipe calls for 2 cups of sugar and cups of flour [#permalink]  18 Sep 2017, 01:54
Carcass wrote:
IlCreatore wrote:
I am not sure this is the right place to ask, but, when it is written 3\frac{1}{2} does it mean 3.5 or 3*\frac{1}{2}=\frac{3}{2}?

The second one you said or 1.5.

Hope now is clear.

regards

Yes but in that case how can the answer be \frac{4}{7}? If 3\frac{1}{2} means 1.5 then the ratio is \frac{3}{4} which is not even among the answers
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Re: A certain recipe calls for 2 cups of sugar and cups of flour [#permalink]  18 Sep 2017, 06:11
Expert's post
Sincerely speaking your question is worth.

2 cups of sugar and 31/2 of flour. Which means 3 1/2 = 3/2 or 1.5

So, the ratio sugar to flour is \frac{2}{\frac{3}{2}} = \frac{4}{3} at the best......

I am the verbal expert. I would wait for the quant ones.

regards
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Re: A certain recipe calls for 2 cups of sugar and cups of flour   [#permalink] 18 Sep 2017, 06:11
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