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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.
Re: A certain recipe requires 3/2 cups of sugar and makes [#permalink]
27 Mar 2019, 16:19
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Expert's post
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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Harvard grad and verified 99% GRE scorer, offering high-quality private GRE tutoring and coaching, both in-person (San Diego, CA, USA) and online worldwide, since 2002.
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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