Question

A lady came to the market to sell eggs . We first customer bought 1/2 of all her eggs and 1/2 of an egg. Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg. At this point she had sold all her eggs. So how many eggs did the lady have when she came to the market

Answer 1

3 eggs

Explanation:

Let the total number of eggs that the woman brought to the market be represented by x

A lady came to the market to sell eggs.

The first customer bought 1/2 of all her eggs and 1/2 of an egg.

x - (1/2x + 1/2) = y

= 1/2x - 1/2= y

y = Amount of eggs left after the first customer left

Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.

At this point she had sold all her eggs.

Hence:

y - (1/2y + 1/2) = 0

y - 1/2y - 1/2

Solving for y

y - 1/2y = 1/2

1/2y = 1/2

y/2 = 1/2

Cross Multiply

2y = 2

y = 1

Solving for x

(1/2x - 1/2) = y

y = 1

1/2x - 1/2 = 1

1/2x = 1 + 1/2

x/2 = 3/2

Cross Multiply

2x = 2 × 3

2x = 6

x = 6/2

x => 3 eggs