A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cu

Question

Competition Mode Question

A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cup, respectively. If sugar and flour are the only ingredients in the recipe, how many cups of sugar are used when making a cake?

(1) the cake requires 33 cups of ingredients
(2) the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3

freedom128 · Answer

Sugar:Flour=2:1

(1) the cake requires 33 cups of ingredients
Sugar+Flour=2x+x=33 --> x=1 cups. So, it needs 2x=22 cups of sugar.
SUFFICIENT

(2) the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3
Sugar+Flour=2x+x=3x. But we don't know the exact total number of cups. 
NOT SUFFICIENT.

FINAL ANSWER IS (A)

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unraveled · Answer

A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cup, respectively. If sugar and flour are the only ingredients in the recipe, how many cups of sugar are used when making a cake?

If any of the number of cups for either sugar or flour is available OR total number of cups is available then it would be sufficient since ratio is given.

(1) the cake requires 33 cups of ingredients

33 = 22 + 11 where 22 is number of cups of sugar and 11 is number of cups of flour.

SUFFICIENT.

(2) the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3

Ratio given is 1:3 thus it can be either 11:33 where 22 is number of sugar cups 
OR
22:66 where 44 is number of sugar cups.

INSUFFICIENT.

IMO Answer A.

exc4libur · Answer

(1) the cake requires 33 cups of ingredients   sufic

S:F=2x:1x; Total = 3x=33cups; x=11cups; S=11*2=22cups

(2) the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3   insufic

F:T=1/3; F/S+F=1/3; S/F=2/1, S=2F; F/(2F+F)=F/3F=1/3

Ans (A)

lacktutor · Answer

A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cup, respectively. If sugar and flour are the only ingredients in the recipe, how many cups of sugar are used when making a cake?
S:F= 2:1--> S=2F

( Statement1 ): the cake requires 33 cups of ingredients
S+F =33
--> 3F=33 --> F=11--> S=22 cups

Sufficient

( Statement2 ): the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3

\frac{F}{(F+S)}= \frac{1}{3}  
-->  \frac{F}{(F+2F)}= \frac{F}{3F}= \frac{1}{3}  
F and S can be anything in this rate.
Insufficient

The answer is A.

Archit3110 · Answer

given
S/F= 2/1
s= 2f
#1
the cake requires 33 cups of ingredients
s+f=33
3f=33
f=11
and s=22
sufficient
#2
the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3
f/s+f = 1/3
s=2f
but total cups not know
insufficient
IMO A 
A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cup, respectively. If sugar and flour are the only ingredients in the recipe, how many cups of sugar are used when making a cake?

(1) the cake requires 33 cups of ingredients
(2) the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3

eakabuah · Answer

Given that the ratio of Sugar to Flour = 2:1, we are to determine the number of cups of sugar used in making the cake.

Statement 1: The cake requires 33 cups of ingredients.
Sufficient. Since we can determine the number of cups of sugar used for the cake as 2*33/3 = 22 cups.

Statement 2: the ratio of the number of cups of flour to the total number of cups used in the recipe is 1:3
The information in statement 2 is already provided. Ratio of cups of Sugar to cups of Flour being 2:1 is the same as saying the ratio of cups of Flour to the total cups of ingredients is 1:3. We need information on the total number of cups of ingredients used for preparing the cake. Since statement does not give us any clues to determine this information, statement 2 is insufficient.
 
The answer is A

Bunuel · Answer

OFFICIAL EXPLANATION

Based upon the question, we can set up a few equations:
Equation (1): Sugar/Flour = 2/1

Since one cake could be made from 2 cups of sugar and 1 cup of flour (or different number of cups in the same ratio):
Equation (2): Sugar/(Total Ingredients) = 2/(2+1) = 2/3
Equation (3): Flour/(Total Ingredients) = 1/(2+1) = 1/3

Evaluate Statement (1) alone. 
Since the cake requires 33 cups of ingredients, using Equation (2), we know that Total Ingredients = 33:
Sugar/(Total Ingredients) = 2/3
Sugar/33 = 2/3
Therefore: Sugar = 22 cups.

Statement (1) is SUFFICIENT.

Evaluate Statement (2) alone. 
Statement (2) does not provide any new information. Based upon the original question, we derived Equation (3). Statement (2) is merely a restatement of Equation (3).

Consider two examples:
If there were 10 cups of flour, the total amount of ingredients would be 30 cups and there would be 20 cups of sugar.
But, if there were 5 cups of flour, the total amount of ingredients would be 15 cups and there would be 10 cups of sugar.

Statement (2) is NOT SUFFICIENT since we cannot determine how many cups of sugar were used in the cake.

Since Statement (1) alone is SUFFICIENT but Statement (2) alone is NOT SUFFICIENT, answer A is correct.

A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cu

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GMAT Data Sufficiency (DS) Questions

A cake recipe calls for sugar and flour in the ratio of 2 cups to 1 cu

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards