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# Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12

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Math Expert
Joined: 02 Sep 2009
Posts: 60463
Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12  [#permalink]

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22 Jul 2019, 00:21
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Difficulty:

5% (low)

Question Stats:

90% (00:54) correct 10% (01:06) wrong based on 105 sessions

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Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12 cups of milk, and 4 cups of sugar. How many cups of milk would Maria require for a batch of 9 cupcakes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

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Re: Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12  [#permalink]

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11 Aug 2019, 19:23
1
Bunuel wrote:
Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12 cups of milk, and 4 cups of sugar. How many cups of milk would Maria require for a batch of 9 cupcakes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

Since 9 cupcakes is 1/4 of 36, for 9 cupcakes Maria would need 1/4 of the 12 cups of milk, or 3 cups of milk.

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Re: Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12  [#permalink]

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22 Jul 2019, 00:32
Bunuel wrote:
Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12 cups of milk, and 4 cups of sugar. How many cups of milk would Maria require for a batch of 9 cupcakes?

(A) 2
(B) 3
(C) 4
(D) 6
(E) 8

Given: Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12 cups of milk, and 4 cups of sugar.
Asked: How many cups of milk would Maria require for a batch of 9 cupcakes?

Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12 cups of milk, and 4 cups of sugar.
=> Maria uses a recipe for 9 cupcakes that requires 2 cups of flour, 3 cups of milk, and 1 cups of sugar.

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GMAT 5: 650 Q48 V31
GMAT 6: 600 Q38 V35
GMAT 7: 710 Q47 V41
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Re: Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12  [#permalink]

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04 Aug 2019, 16:48
Don't think is a mixture question. It's more a ratio question.

Flour: Sugar: Milk: Total
Cups: 8 : 4 : 12 : 24
Ratio: 2x: x : 3x : 6x
This produces 36 cupcakes, and we require 12/24 Milk for this mix.

If we want to make 1/4 th of the cupcakes i.e. 9 cupcakes, then we need 1/4th the total number of cups.

1/4 *24 = 6

We then need to maintain the same proportions (proportions) of each part.
Flour: Sugar: Milk: Total
Cups: 2 : 1 : 3 : 6

Milk = (12/24)*6 = 3
Sugar = 4/24 *6 = 1/6*6 = 1
Flour = 8/24*6 = 1/3 *6 = 2

I added the others for reference
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Re: Maria uses a recipe for 36 cupcakes that requires 8 cups of flour, 12   [#permalink] 04 Aug 2019, 16:48
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