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

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In the storage room of a certain bakery, the ratio of sugar [#permalink]

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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
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink]

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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]

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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]

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New post 13 Jul 2014, 12:51
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink]

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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink]

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New post 23 Nov 2016, 12:47
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink]

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New post 06 Dec 2016, 10:49
Bunuel wrote:
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] 06 Dec 2016, 10:49
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