Question

I had 14 apples with me of which ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. My wife ate half of the remaining apples. What is the total number of apples left with me?

___

Answer 1

Let us start with 14 apples
$14\times \frac{2}{7}$ were spoilt = 4 apples
So, I am left with 10 apples. After selling them in the market,
$10\times \frac{1}{5}$ apples were left = 2 apples.
Half of two apples would be,
$2\times \frac{1}{2}$ ate by my wife = 1 apple

So, I am left with 1 apple.