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The ratio of flour to water to sugar in a recipe is 7:4:1.

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Joined: 11 Oct 2013
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The ratio of flour to water to sugar in a recipe is 7:4:1. [#permalink]  21 Jan 2014, 14:10
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The ratio of flour to water to sugar in a recipe is 7:4:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 8 cups of water, how much sugar is required?

(A) 4 cups
(B) 6 cups
(C) 8 cups
(D) 12 cups
(E) 16 cups
[Reveal] Spoiler: OA

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Re: The ratio of flour to water to sugar in a recipe is 7:4:1. [#permalink]  21 Jan 2014, 20:38
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3111987 wrote:
The ratio of flour to water to sugar in a recipe is 7:4:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 8 cups of water, how much sugar is required?

(A) 4 cups
(B) 6 cups
(C) 8 cups
(D) 12 cups
(E) 16 cups

Flour:Water:Sugar = 7:4:1

Flour:Water = 7:4
New Ratio of Flour:Water = 14:4 = 7:2 (Multiplying the ratio by 2)

Flour:Sugar = 7:1
New Ratio of Flour:Sugar = 7:2 (Halving the ratio)

New Ratio of Flour:Water:Sugar = 7:2:2

For every 2 cups of water, there is 2 cups of sugar. IF you have 8 cups of water, you need 8 cups of sugar.
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Intern Joined: 11 Oct 2013 Posts: 18 Location: United Kingdom Concentration: General Management, Leadership GMAT 1: 490 Q32 V25 GPA: 3.9 WE: Other (Other) Followers: 0 Kudos [?]: 18 [0], given: 34 Re: The ratio of flour to water to sugar in a recipe is 7:4:1. [#permalink] 22 Jan 2014, 15:29 VeritasPrepKarishma wrote: 3111987 wrote: The ratio of flour to water to sugar in a recipe is 7:4:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 8 cups of water, how much sugar is required? (A) 4 cups (B) 6 cups (C) 8 cups (D) 12 cups (E) 16 cups Flour:Water:Sugar = 7:4:1 Flour:Water = 7:4 New Ratio of Flour:Water = 14:4 = 7:2 (Multiplying the ratio by 2) Flour:Sugar = 7:1 New Ratio of Flour:Sugar = 7:2 (Halving the ratio) New Ratio of Flour:Water:Sugar = 7:2:2 For every 2 cups of water, there is 2 cups of sugar. IF you have 8 cups of water, you need 8 cups of sugar. dear Karishma big thanks for explanation) questioin: why when you doubling the ratio you multiply both and 7 and 4 but when you halving you apply to one side of ratio 7:2??? _________________ Good things come to those who wait… greater things come to those who get off their ass and do anything to make it happen... Intern Joined: 27 Dec 2013 Posts: 35 Concentration: Finance, General Management Schools: ISB '15 Followers: 0 Kudos [?]: 11 [0], given: 29 Re: The ratio of flour to water to sugar in a recipe is 7:4:1. [#permalink] 22 Jan 2014, 23:01 3111987 wrote: The ratio of flour to water to sugar in a recipe is 7:4:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 8 cups of water, how much sugar is required? (A) 4 cups (B) 6 cups (C) 8 cups (D) 12 cups (E) 16 cups Hello, Flour/Water = 7/4, Flour/Sugar = 7/1 Double the ratio of Flour/Water = 7/4 * 2 = 7/2 Halve the ratio of Flour to Sugar = 7 * 1/2 = 7/2 The new ratio of Flour: Water: Sugar = 7:2:2 For 8 cups of water in the new recipe, sugar required will be 8 cups. Answer is C Hope this helps _________________ Kindly consider for kudos if my post was helpful! Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 6234 Location: Pune, India Followers: 1681 Kudos [?]: 9643 [0], given: 197 Re: The ratio of flour to water to sugar in a recipe is 7:4:1. [#permalink] 23 Jan 2014, 02:06 Expert's post 3111987 wrote: VeritasPrepKarishma wrote: 3111987 wrote: The ratio of flour to water to sugar in a recipe is 7:4:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 8 cups of water, how much sugar is required? (A) 4 cups (B) 6 cups (C) 8 cups (D) 12 cups (E) 16 cups Flour:Water:Sugar = 7:4:1 Flour:Water = 7:4 New Ratio of Flour:Water = 14:4 = 7:2 (Multiplying the ratio by 2) Flour:Sugar = 7:1 New Ratio of Flour:Sugar = 7:2 (Halving the ratio) New Ratio of Flour:Water:Sugar = 7:2:2 For every 2 cups of water, there is 2 cups of sugar. IF you have 8 cups of water, you need 8 cups of sugar. dear Karishma big thanks for explanation) questioin: why when you doubling the ratio you multiply both and 7 and 4 but when you halving you apply to one side of ratio 7:2??? I am not sure I follow you. Original Ratio of Flour:Water $$= 7:4 = \frac{7}{4}$$ New Ratio of Flour:Water (original will be doubled) $$= \frac{7}{4}*2 = \frac{14}{4}$$ Thereafter, I brought 14/4 to lowest terms 7/2. Original Ratio of Flour:Sugar $$= 7:1 = \frac{7}{1}$$ New Ratio of Flour:Sugar (original will be halved) $$= \frac{7}{1*2} = \frac{7}{2}$$ _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: The ratio of flour to water to sugar in a recipe is 7:4:1. [#permalink]  07 Sep 2015, 17:23
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Re: The ratio of flour to water to sugar in a recipe is 7:4:1.   [#permalink] 07 Sep 2015, 17:23
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