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A certain recipe requires 3 tablespoons of oil and makes 3 d

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A certain recipe requires 3 tablespoons of oil and makes 3 d [#permalink] New post   14 Aug 2020, 11:02
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A certain recipe requires 3 tablespoons of oil and makes 3 dozen brownies. (1 dozen = 12)

Quantity A
Quantity B
The amount of oil required for the same recipe to make 15 brownies
1.5 tablespoons




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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B
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Re: A certain recipe requires 3 tablespoons of oil and makes 3 d [#permalink] New post   14 Aug 2020, 11:02
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Re: A certain recipe requires 3 tablespoons of oil and makes 3 d [#permalink] New post   14 Aug 2020, 12:53
If 3 tbsp of oil makes 36 brownies, half that amount of oil (1.5 tbsp) makes half the amount of brownies, or 18. Since 15 brownies should then require slightly less oil than would 18 brownies, the answer is B.
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Re: A certain recipe requires 3 tablespoons of oil and makes 3 d [#permalink] New post   14 Aug 2020, 20:09
3 tablespoons of Oil : 3 dozen brownies

= 3 tablespoon of oil : 36 brownies


A ratio remains the same if we multiply each side by the same scalar.

Let's multiply both sides by (15/36)

= 3(15/36) tablespoons of oil : 36(15/36) brownies

= 15/12 tablespoons of oil : 15 brownies

= 1.25 tablespoons of oil : 15 brownies

Therefore we need 1.25 tablespoons of oil to make 15 brownies


1.25< 1.5

Final Answer: B
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Re: A certain recipe requires 3 tablespoons of oil and makes 3 d [#permalink] New post   05 Feb 2021, 06:45
Oil and Brownie are Directly Proportional (more brownies require more oil)
In Direct Proportion, Ratio is constant.

i.e. 3/36 = O/15
O = 45/36 = 5/4 = 1.25

Since, A < B

Hence, option B
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