In the storage room of a certain bakery, the ratio of sugar : GMAT Problem Solving (PS)
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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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20 Jan 2013, 13:42
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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
[Reveal] Spoiler: OA
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink]

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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]

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21 Jan 2013, 02:01
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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.

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

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13 Jul 2014, 11:51
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Re: In the storage room of a certain bakery, the ratio of sugar [#permalink]

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18 Oct 2015, 08:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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23 Nov 2016, 11:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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06 Dec 2016, 09:49
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.

Solved just like this.
Re: In the storage room of a certain bakery, the ratio of sugar   [#permalink] 06 Dec 2016, 09:49
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