GMAT Club Around The World!!! The ratio of flour to sugar to baking so

Question

The ratio of flour to sugar to baking soda in a recipe is x:y:z. A cook accidentally triples the ratio of baking soda to sugar and halves the ratio of flour to sugar. If the altered recipe will have x total grams of sugar, which of the following expresses the grams of flour it will contain?

A. x^2/(2y)

B. 2y/x^2

C. xz/y

D. yz/(3x)

E. yz/(4x)

A. x^2/(2y)

B. 2y/x^2

C. xz/y

D. yz/(3x)

E. yz/(4x)

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zhanbo · Answer

My answer is  (A) .

The ratio of flour to sugar to baking soda in a recipe is x:y:z
The cook 's ratio is x/2 : y : 3z

Question: If the altered recipe will have x total grams of sugar, which of the following expresses the grams of flour it will contain?
To answer this question, we do not need to care about baking soda.

The ratio between flour to sugar is x/2 : y, which is the same as ANS : x 
So: x^2 / 2 = y * ANS
ANS = x^2/(2y)

Deepakjhamb · Answer

answer is a) x^2 /2y

we have f:s:bs= x:y:z

now eq1 bs/s = 3z/y and eq 2 f/s = x/2y , taking same denominator in 1) we get bs/s = 6z/2y

so new f:s:bs ratio = x: 2y : 6z

we are given 2y *k = x so k= x/2y so x* k = x * x/2y = x^2 / 2y so answer is a)

rocky620 · Answer

Initial Ratio  = x:y:z
 New Ratio

Soda:Sugar = 3z:y
Floor:Sugar = x:2y

New ratio = x:2y:6z
Total weight = mx + 2my + 6mz

We are given, 2my=x grams. So m=x/2y

Weight of flour = mx = x*x/2y =  (x^2)/2y

IMO Option A

ananya3 · Answer

IMO A

F:S:B = x:y:z
new numbers :  x_{new}, y_{new}, z_{new} 
 y_{new} = x;\ find\ x_{new}=???

\frac{z}{y} = k_{1} 
 \frac{z_{new}}{y_{new}} = 3k_{1}  -----equation 1

\frac{x}{y} = k_{2} 
 \frac{x_{new}}{y_{new}} = \frac{1}{2} k_{2}  ---equation 2

y_{new} = x 
from equation2 
 \frac{x_{new}}{y_{new}} = \frac{1}{2} * \frac{x}{y}

\frac{x_{new}}{x} = \frac{1}{2} * \frac{x}{y}

x_{new} = \frac{x^2}{2y}

Green2k1 · Answer

Correct Answer A

The ratio of flour to sugar to baking soda in a recipe is x:y:z. A cook accidentally triples the ratio of baking soda to sugar and halves the ratio of flour to sugar. If the altered recipe will have x total grams of sugar, which of the following expresses the grams of flour it will contain?

A. x^2/(2y)

B. 2y/x^2

C. xz/y

D. yz/(3x)

E. yz/(4x)

Flour(F): Sugar(S): Baking Soda (B) ---> x:y:z

Say total is P
F =xP
S=yP
B=zP
New Ratio
F =xP/2
S=yP = x gram ---> P=x/y
B=3zP

F =x^2/(2y)

TarunKumar1234 · Answer

Given, Type----- Flour-----Sugar----Banking Soda Initial-----x--------y----------z Finally----x-------2*y-------6*z Further, 2*y*k= x then, k= x/(2y) So, Flour= x*k = x*x/(2y) = x^2/(2*y) I think A.

manasi05 · Answer

Ratio of Flour to Sugar to Baking Soda in a recipe = x:y:z
As per the above ratio amount of flour will be x*n, amount of sugar will be y*n, amount of baking soda will be z*n where n is the ratio multiplier to calculate the actual amount

Cook accidentally triples the ratio of baking soda to sugar, so the new ratio will be:
Baking soda:Sugar = 3(z*n/y*n)
Cook accidentally halves the ratio of flour to sugar, so the new ratio will be:
Flour:Sugar = 1/2(x*n/y*n)
So the combined ratio of Baking Soda to Sugar to Flour in this new combination will be:
6z*n : 2y*n : x*n
Now we know altered recipe has x grams of sugar so
2y*n = x 
n = x/2y 
Now that we have the value of multiplier we can calculate the value flour amount
Flour amount = x*n = x*x/2y = x^2/2y

So the answer will be A

ThatDudeKnows · Answer

With variables in the question stem that are repeated in the answer choices, we have an opportunity to Plug In.
Let's make x = 1, y = 2, and z = 3.
The chef makes some boo boos. He halves x...ah, we'd end up with a fraction...not a huge fan...maybe quickly switch numbers (I put this here because this is exactly what I did when solving. If it's early in the solving process and you realize you can easily switch numbers to give yourself something you like better, go for it!).
Let's make x = 2, y = 1, and z = 3.
The chef makes some boo boos. He halves the flour and triples the baking soda, so the ratio of the altered recipe is 1:1:9.
The altered recipe has x grams of sugar, so 2 grams of sugar. That means we have 2:2:18, so it has 2 grams of flour.
Let's check the answer choices.

A. x^2/(2y) = 4/2 = 2 Keep it.

B. 2y/x^2 = 2/4 Wrong.

C. xz/y = 6/1 Wrong.

D. yz/(3x) 3/6 Wrong.

E. yz/(4x) 3/8 Wrong.

Answer choice A.

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GMAT Club Around The World!!! The ratio of flour to sugar to baking so

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