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GRE Math Challenge #43-recipe makes enough batter for exact
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19 Sep 2014, 03:29
19 Sep 2014, 03:29
Expert Reply
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Question Stats:
56% (01:06) correct
43% (00:55) wrong based on 16 sessions
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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 & of the same thickness as the 10-inche pancakes, should the recipe make?
A. 4
B. 16
C. 24
D. 32
E. 40
A. 4
B. 16
C. 24
D. 32
E. 40
Re: GRE Math Challenge #43-recipe makes enough batter for exact
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06 Apr 2020, 10:03
06 Apr 2020, 10:03
Expert Reply
Given: Cake diameter = 10 so radius = 5.
Volume of a single cake would be pi*r^2*h = Pi*25*h = A ( assigned some constant)
So total batter that we have is 8A. (given that we can make 8 cakes)
Now for the volume of smaller cake: Diameter = 5, so radius = 5/2.
Volume of single cake is pi * r^2*h = pi*(25/4)*h. (height is same as the old cake).
volume of Small cake = A/4.
Number of small cakes that could me made = total batter / Volume of small cake -> 8A/A/4 -> 32.
Volume of a single cake would be pi*r^2*h = Pi*25*h = A ( assigned some constant)
So total batter that we have is 8A. (given that we can make 8 cakes)
Now for the volume of smaller cake: Diameter = 5, so radius = 5/2.
Volume of single cake is pi * r^2*h = pi*(25/4)*h. (height is same as the old cake).
volume of Small cake = A/4.
Number of small cakes that could me made = total batter / Volume of small cake -> 8A/A/4 -> 32.
gmatclubot
Re: GRE Math Challenge #43-recipe makes enough batter for exact [#permalink]
06 Apr 2020, 10:03
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