Ilana buys two identically sized cakes for a party. She cuts the chocolate cake into 24 pieces and the vanilla cake into 20 pieces, and lets the guests serve themselves. Martin takes three pieces of chocolate cake and one of vanilla, and Sheena takes one piece of chocolate and two of vanilla. Which of them gets more cake? Show your work and make sure your final answer is obvious.
Answers
Given : Ilana buys two identically sized cakes for a party. She cuts the chocolate cake into 24 pieces and the vanilla cake into 20 pieces
Martin takes three pieces of chocolate cake and one of vanilla, and Sheena takes one piece of chocolate and two of vanilla.
To Find : Which of them gets more cake
Solution:
Let say Each cake = 120P
chocolate cake into 24 pieces
=> Each chocolate cake piece = 120P/24 = 5P
Vanilla cake into 20 pieces
=> Each Vanilla cake piece = 120P/20 = 6P
Martin takes three pieces of chocolate cake and one of vanilla
= 3 (5P) + 6P
= 21P
Sheena takes one piece of chocolate and two of vanilla
= 5P + 2(6P)
= 17P
21P > 17P
Martin get more cake
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