Question

ON TUESDAY NORACHI BOUGHT SIX HATS ON WENDSDAY HALF OF ALL HER HATS THAT HE HAD WERE DESTROYED ON THURSDAY THERE WERE ONLY 23 LEFT HOW MANY DID HE HAVE ON MONDAY?

Answer 1

x - the number of hats on Monday

$x+6-\dfrac{x+6}{2}=23\\ 2x+12-(x+6)=46\\ 2x+12-x-6=46\\ x=40$

So, he had 40 on Monday.