You have 12 black socks and 12 white socks mixed up in a drawer. You’re up very early and it’s too dark to tell them apart. What’s the smallest number of socks you need to take out (blindly) to be sure of having a matching pair?
Three socks. If the first sock is black, the second one could be black, in which case you have a matching pair. If the second sock is white, the third sock will be either black and match the first sock, or white and match the second sock.
Fred brings home 100 pounds of potatoes, which (being purely mathematical potatoes) consist of 99 percent water. He then leaves them outside overnight so that they consist of 98 percent water. What is their new weight?
100 lb of potatoes with 99% water weight means there’s 99 lb of water and 1 lb of solids, a 1:99 ratio.
If the water decreases to 98%, then the solids account for 2% of the weight. The 2:98 ratio reduces to 1:49. Since the solids still weigh 1 lb, the water must weigh 49 lb for a total of 50 lbs for the answer.
The thunder comes before the lightning, And the lightning comes before the cloud, The rain dries all the land it touches, Wrapping the earth in a blood red shroud.
Early one morning Hal, the owner of a hardware store, sells a mailbox for $25 to Courtney that cost him $20 wholesale. Courtney pays with a $100 bill and Hal discovers he doesn’t have enough change. He runs to the jewelry shop next door, where Jack, the owner, gives him change in exchange for the $100. Later that afternoon, Jack discovers the $100 bill is a counterfeit and Hal pays him $100 to make it right.
The total loss was $95. -$20 = The wholesale cost of the mailbox $100 = The money from Jack -$75 = The change paid to Courtney -$100 = To pay Jack back -$20 + $100 – $75 – $100 = -$95
It’s easy to think Hal lost $195 but that fails to account for the $100 used to make the change, which came from Jack, not Hal. Jack paid $100 in exchange for a worthless piece of paper, so the $100 was initially Jack’s loss. Hal had made a $5 profit until Jack’s discovery. If you guessed $100, that’s arguably correct, but not making $5 in profit isn’t a loss in the strictest sense of the word.
