Smita made a large chocolate cake. She gaveof the cake to her daughter, of the cake to her daughter, to her son, 3 pieces to her son’s friend and 2 pieces to her daughter’s friend. Find the total number of pieces she divided the cake into and her sons and daughter’s shares.

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45 and 53 pieces

10 and 18 pieces

20 and 25 pieces

10 and 15 pieces

answer is D.

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Detailed Solution

Concept- In this problem, we will divide the cake’s total number of pieces, among the participants in accordance with the question after first supposing that number to be a variable.
The total number of cake pieces will then be equal to the sum of the divided parts.
Let us assume that x be the total pieces of a large cake.
Now we will divide the pieces of the cake according to the question:
Daughter

of cake

Son

of cake

Son’s friend 3 pieces

Daughter’s friend 2 pieces

The total number of divided pieces will now equal the sum of all the divided parts:
Question Image

Thus, 30 are the total number of pieces of cake.
Evaluating the cake pieces that have been served and dividing the total between her son and daughter:
Son

Daughter

Hence, the correct answer is option 4).

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