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A certain recipe makes enough batter for exactly 8 circular

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A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 12 Jun 2018, 09:52
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61% (01:34) correct 38% (01:20) wrong based on 31 sessions
A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe make?

(A) 4

(B) 16

(C) 24

(D) 32

(E) 40
[Reveal] Spoiler: OA

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Re: A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 12 Jun 2018, 17:55
is the answer 32?
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Re: A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 05 Jul 2018, 05:17
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Carcass wrote:
A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe make?

(A) 4

(B) 16

(C) 24

(D) 32

(E) 40



Here,
The thickness is same in both the cases

so Radius in the 1st case = 5 inches
and Radius in the 2nd case = \(\frac{5}{2} = 2.5 inches\)


Let us take no. of pancakes can be prepared from 5 inch diameter = N

Therefore ,

\({N * \pi * (2.5)^2 = 8 * \pi * 5^2}\)

or, \(N = \frac{8 * 25}{6.25} = 32\)
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Re: A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 04 Sep 2020, 11:09
pranab223 wrote:
Carcass wrote:
A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe make?

(A) 4

(B) 16

(C) 24

(D) 32

(E) 40



Here,
The thickness is same in both the cases

so Radius in the 1st case = 5 inches
and Radius in the 2nd case = \(\frac{5}{2} = 2.5 inches\)


Let us take no. of pancakes can be prepared from 5 inch diameter = N

Therefore ,

\({N * \pi * (2.5)^2 = 8 * \pi * 5^2}\)

or, \(N = \frac{8.25}{6.25} = 32\)



the calculation is wrong here
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Re: A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 04 Sep 2020, 11:43
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Asmakan wrote:
the calculation is wrong here


You're right.

Once we have: \({N * \pi * (2.5)^2 = 8 * \pi * 5^2}\)

We can divide both sides of the equation by \(\pi\) to get: \({N * (2.5)^2 = 8 * 5^2}\)

Evaluate both sides to get: \({N * 6.25 = 200}\)

Solve: \(N = \frac{200}{6.25} = 32\)
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Re: A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 05 Sep 2020, 04:47
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Asmakan wrote:

the calculation is wrong here


Corrected. thanks
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Re: A certain recipe makes enough batter for exactly 8 circular [#permalink] New post 05 Sep 2020, 10:40
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Thank you Sir.

We appreciate :)
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Re: A certain recipe makes enough batter for exactly 8 circular   [#permalink] 05 Sep 2020, 10:40
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