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# Joyce has a recipe for a batch of brownies and a recipe for a coffee

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
Joyce has a recipe for a batch of brownies and a recipe for a coffee  [#permalink]

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13 Dec 2018, 02:40
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:24) correct 7% (00:11) wrong based on 33 sessions

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Joyce has a recipe for a batch of brownies and a recipe for a coffee cake. How many cups of flour does her recipe for a batch of brownies require?

(1) When Joyce bakes a batch of brownies and a coffee cake following her recipes, she uses a total of 9/2 cups of flour.

(2) When Joyce bakes 2 batches of brownies and 3 coffee cakes following her recipes, she uses a total of 11 cups of flour.

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Joined: 08 Sep 2008
Posts: 140
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: Joyce has a recipe for a batch of brownies and a recipe for a coffee  [#permalink]

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13 Dec 2018, 04:23
1
Brownies =B
coffee cake =C
Question B =?

St:-1
B+C= 4.5
Not sufficient.

St-2
2B+3C = 11
Not Sufficient

Combine:
Two unknown two equation we can get the answer.
C.
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Joined: 24 Jul 2018
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GPA: 4
Re: Joyce has a recipe for a batch of brownies and a recipe for a coffee  [#permalink]

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16 Dec 2018, 21:15
1
Bunuel wrote:
Joyce has a recipe for a batch of brownies and a recipe for a coffee cake. How many cups of flour does her recipe for a batch of brownies require?

(1) When Joyce bakes a batch of brownies and a coffee cake following her recipes, she uses a total of 9/2 cups of flour.

(2) When Joyce bakes 2 batches of brownies and 3 coffee cakes following her recipes, she uses a total of 11 cups of flour.

Let a batch of brownies be represented as "B" and a coffee cake as "C".
Option-1:
B+C=$$\frac{9}{2}$$ ....i

Insufficient

Option-2:
2B+3C=11...ii

Insufficient

Option-1 + Option-2:
Two unknown (B & C) with two equations (i & ii)....can be easily solved.

Hence ans should be C.
Re: Joyce has a recipe for a batch of brownies and a recipe for a coffee   [#permalink] 16 Dec 2018, 21:15
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