Question

If there are 5 picecs of cake and each person got 5/6 of each piece of cake, how many people will get the cake?

Those who answer first i will give brillent

Answer 1

Given:

There are 5 pieces of cake.

The cake is distributed among few people such that each one gets $\frac{5}{6}th$ part of a piece of cake.

To find:

How many people will get the cake?

Solution:

The solution to this problem is very simple and lies in the concept of Unitary method.

We can apply unitary method to get the solution of this problem.

$\frac{5}{6}th$ part of piece of the cake is distributed to = 1 person

1 part of the piece of cake is distributed to = $\dfrac{1}{\frac{5}{6}}$ or $\dfrac{6}{5}$

5 parts of pieces of cake will be distributed to = $\dfrac{6}{5} \times 5 = 6\ people$

So, 5 pieces of cake will be distributed to 6 people.

 

Answer 2

$Given \: number \: of \: cake \: pieces = 5$

$Quantity \: of \: each \: portion \: each \\person \: get = \frac{5}{6}$

$Let \: number \: of \: persons \: get \:the \\cake = n$

$\therefore n \times \frac{5}{6} = 5$

$\implies n = 5 \times \frac{6}{5}$

$\implies n = 6$

Therefore.,

$\red { number \: of \: persons \: get \:the \:cake}\\\green { = 6}$

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