Explanation

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

Cups of Sugar	\(\frac{3}{2}\)	x
Cookies	24	30

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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Thus, column B should be 2 instead of 12, right?

Fixed!

Thanks for pointing out!
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still not fixed, sandy. It still says 12.

Fixed. Thank you
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Attached is a visual that should help.



Source: Vince and Brian's GRE PowerPrep Explanations

Best of luck on your GRE and beyond,

-Brian
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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

RELATED VIDEO FROM MY COURSE

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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

hank you for the solution

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!

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