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]

20 Jan 2013, 14:42

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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

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

20 Jan 2013, 16:42

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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]

21 Jan 2013, 03:01

nave81 wrote:

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, 03:01

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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

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

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