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A certain recipe requires 3/2 cups of sugar and makes
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Carcass
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A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  23 Jan 2017, 08:31
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A certain recipe requires \(\frac{3}{2}\) cups of sugar and makes 2 dozen cookies. (1 dozen = 12 )

Quantity A
Quantity B
The amount of sugar required for the same recipe to make 30 cookies
2 cups


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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sandy
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  24 Jan 2017, 19:46
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Explanation

Set up a cross-multiplying diagram and complete it with the information provided:

Cups of Sugar\(\frac{3}{2}\)x
Cookies2430


Solve for x:

(3/2)(30) = (24)(x) → 45 = 24x → 1.875 = x

Compare the quantities:

Quantity A: 1.875 cups
Quantity B: 2 cups

Hence Option B is greater.
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IlCreatore
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  17 Sep 2017, 23:45
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sandy wrote:
Explanation

Compare the quantities:

Quantity A: 1.875 cups
Quantity B: 2 cups

Hence Option B is correct.


Thus, column B should be 2 instead of 12, right?
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sandy
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  18 Sep 2017, 04:17
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Fixed!

Thanks for pointing out!
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Emike56
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  26 Jul 2018, 11:42
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sandy wrote:
Fixed!

Thanks for pointing out!

still not fixed, sandy. It still says 12.
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Carcass
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  26 Jul 2018, 11:49
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Fixed. Thank you
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  27 Mar 2019, 16:19
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Attached is a visual that should help.

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Source: Vince and Brian's GRE PowerPrep Explanations

Best of luck on your GRE and beyond,

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A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  27 Mar 2019, 16:50
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Carcass wrote:


A certain recipe requires \(\frac{3}{2}\) cups of sugar and makes 2 dozen cookies. (1 dozen = 12 )

Quantity A
Quantity B
The amount of sugar required for the same recipe to make 30 cookies
2 cups


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


GIVEN: For every 3/2 cups of sugar, we get 24 cookies

We can solve this question with equivalent ratios

We're comparing cups of sugar with number of cookies.
Let x = the cups of sugar required to make 30 cookies

We get: (3/2)/24 = (x)/30
Cross multiply to get: (24)(x) = (3/2)(30)
Simplify: 24x = 45
Solve: x = 45/24

ASIDE: Since 48/24 = 2, we know that 45/24 is less than 2

We get:
QUANTITY A: some number less than 2
QUANTITY B: 2

Answer: B

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kabirstatdu
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  18 Aug 2019, 02:46
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1.5 Cups of sugar for cookies 24 (given)
0.5 Cups of sugar for cookies 8 (dividing by 3)
2 Cups of sugar for cookies 32 (multiply by 4)

By using 4 cup of sugar, producible cookies are 32
so to produce 30 cookies, required cup of sugar is less than 2.

so ans is B
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Quentin
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  22 Jan 2020, 06:21
hank you for the solution
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sushant54
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Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink] New post  16 Sep 2021, 18:10
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EASY SOLUTION -- :)
It can be solved through word problem.

24 cookies --> 3/2 cups of sugar
1 cookie --> 3/2 * 1/24 = 1/16 cups of sugar
30 cookies --> 1/16 * 30 = 15/8 = 1.875 cups of sugar

Therefore, 2 > 1.875 ==> B > A . Done! :thumbsup:

If you like the solution please give kudos to it. Thanks.
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