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

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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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Difficulty:

55% (hard)

Question Stats:

67% (02:57) correct 33% (01:43) wrong based on 51 sessions
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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Veritas Prep GMAT Instructor
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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
1
KUDOS
Expert's post
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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Karishma
Veritas Prep | GMAT Instructor
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Intern
Joined: 11 Oct 2013
Posts: 18
Location: United Kingdom
GMAT 1: 490 Q32 V25
GPA: 3.9
WE: Other (Other)
Followers: 0

Kudos [?]: 8 [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???
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Intern
Joined: 27 Dec 2013
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Concentration: Finance, General Management
Schools: ISB '15
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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.

Hope this helps
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Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 5429
Location: Pune, India
Followers: 1324

Kudos [?]: 6712 [0], given: 176

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) $= \frac{7}{1*2} = \frac{7}{2}$
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Re: The ratio of flour to water to sugar in a recipe is 7:4:1.   [#permalink] 23 Jan 2014, 02:06
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