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A cake is baked in a pan with a square bottom 9 inches by 9 inches. If

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A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 05 Oct 2017, 01:31
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A cake is baked in a pan with a square bottom 9 inches by 9 inches. If the cake is cut into bars 1 1/2 inches long and 1 inch wide, how many bars will there be?

(A) 54
(B) 48
(C) 45
(D) 27
(E) 12
[Reveal] Spoiler: OA

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Re: A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 05 Oct 2017, 04:35
Area of the square cake = 9 x 9 =81 sq.in
Area of each bar = 3/2 x 1 = 3/2
Number of bars = 81/ 3/2=54
Answer A
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A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 05 Oct 2017, 05:11
let the cake be cut into rows and columns.
No of rows: 9/1 = 9
No. of columns: 9/1.5 = 6
Total no. of bars = 9*6 = 54
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Re: A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 05 Oct 2017, 22:12
Along the length, we have to cut 9 inches into 1.5 inches slot. So, we will have 6 slots comprising of 5 lines.

Along the width, each of these 5 lines is cut into 9 pieces each.

So, total lines = 9x5 = 45.

Ans C.

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Re: A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 05 Oct 2017, 22:38
Shobhit7 wrote:
Along the length, we have to cut 9 inches into 1.5 inches slot. So, we will have 6 slots comprising of 5 lines.

Along the width, each of these 5 lines is cut into 9 pieces each.

So, total lines = 9x5 = 45.

Ans C.

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5 lines cut will have 6 bars. We are concerned about the bars. So it should be 9*6
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Re: A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 09 Oct 2017, 16:43
Bunuel wrote:
A cake is baked in a pan with a square bottom 9 inches by 9 inches. If the cake is cut into bars 1 1/2 inches long and 1 inch wide, how many bars will there be?

(A) 54
(B) 48
(C) 45
(D) 27
(E) 12


The area of the pan is 81 in^2 and the area of each bar is 1.5 in^2. Thus, there will be 81/1.5 = 54 bars.

Answer: A
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Re: A cake is baked in a pan with a square bottom 9 inches by 9 inches. If [#permalink]

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New post 13 Nov 2017, 06:45
This is a relatively straightforward question, especially if you draw a schematic of the problem (see attached file).

Given information:
- 9 x 9 inch square pan
- 1.5 x 1 inch bar of cake

Objective:
Determining the number of bars that would fit the square pan

Procedure:
Length-wise, for 9 inches, we would have 6 bars of cake. This comes from dividing the length of the bar by that of the pan: \(\frac{9}{1.5} = 6\)
Width-wise, for 9 inches, we would have 9 bars of cake. This is evident as the width of the bar is 1 inch and that of the pan is 9 inches.
Therefore, the total number of bars that would fit the square pan is: \(6 * 9 = 54\)
This corresponds to answer A.

QED.
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Re: A cake is baked in a pan with a square bottom 9 inches by 9 inches. If   [#permalink] 13 Nov 2017, 06:45
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