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22 Jul 2019, 00:21
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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
(A) 2
(B) 3
(C) 4
(D) 6
(E) 8
22 Jul 2019, 00:32
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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.
IMO B
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04 Aug 2019, 16:48
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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
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
