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In the storage room of a certain bakery, the ratio of sugar

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Manager
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Joined: 08 Dec 2012
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Location: United Kingdom
GMAT 1: 710 Q0 V0
WE: Engineering (Consulting)
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In the storage room of a certain bakery, the ratio of sugar [#permalink] New post 20 Jan 2013, 13:42
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Question Stats:

74% (02:40) correct 25% (02:00) wrong based on 54 sessions
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?

A. 600
B. 1200
C. 1500
D. 1600
E. 1750
[Reveal] Spoiler: OA
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Intern
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Joined: 21 Dec 2012
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink] New post 20 Jan 2013, 15:42
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\frac{S}{F}=\frac{5}{8}

\frac{F}{B}=\frac{10}{1}

\frac{F}{(B+60)}=\frac{8}{1}

Therefore...

F=8*(B+60)=10*B

=> 8*B+480=10B

=> B=240lbs

=> F=10*B=10*240=2400lbs

=> S=\frac{5}{8}*F=\frac{5}{8}*2400=1500lbs
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink] New post 21 Jan 2013, 02:01
Expert's post
nave81 wrote:
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?

A. 600
B. 1200
C. 1500
D. 1600
E. 1750


Sugar:Flour = 5:8 = 25:40;
Flour:Soda = 10:1 = 40:4;

Thus we have that Sugar:Flour:Soda = 25x:40x:4x.

Also given that 40x/(4x+60) = 8/1 --> x=60 --> Sugar = 25x = 1,500.

Answer: C.
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Re: In the storage room of a certain bakery, the ratio of sugar   [#permalink] 21 Jan 2013, 02:01
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In the storage room of a certain bakery, the ratio of sugar

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