Question

There is a bowl of grapes lying on the table. Rishi walks in and eats half the grapes plus 3 extra grapes.
Then Shashi walks in and eats half the remaining grapes plus 3 extra grapes. Finally, Shammi walks in and eats half the remaining grapes plus 3 extra grapes. If the bowl is now empty, how many grapes
were there to begin with?​

Answer 1

Answer:

42

Step-by-step explanation:

let total grapes be x

then, rishi:x/2-3=(x-6)/2

shakshi:[(x-6)/4]-3=(x-18)/4

shammi:[(x-18)/8]-3=(x-42)/8

(x-42)/8=0

x=42

Answer 2

Answer:

42

Given:

Rishi eats half the grapes plus 3 extra grapes.

Shashi eats half the remaining grapes plus 3 extra grapes.

Shammi walks in and eats half the remaining grapes plus 3 extra grapes.

To find:

Number of grapes.

Step-by-step explanation:

let us consider number of grapes be x.

First,

Rishi eats half the grapes plus 3 extra grapes.

so, number of grapes he eat = x/2 + 3 = (x + 6)/2

remaining grapes = x - (x + 6/2) = (x - 6)/2

then,

Shashi eats half the remaining grapes plus 3 extra grapes.

so, number of grapes he eat = (x - 6)/4 + 3 = (x+6)/4

remaining grapes = (x - 18)/4

then,

Shammi eats half the remaining grapes plus 3 extra grapes.

so, number of grapes he eat = (x - 18)/8 + 3 = (x+6)/8

hence,

(x + 6)/2 + (x+6)/4 + (x+6)/8 = x

(4x + 24 + 2x + 12 + x + 6)/8 = x

(4x + 24 + 2x + 12 + x + 6) = 8x

7x + 42 = 8x

42 = 8x -7x

42 = x

Therefore, the numbers of grapes on the table are 42.

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