A bat and ball cost $1.10, and the bat costs a dollar more than the ball. How much does the ball cost? and: A lake contains a patch of lily pads which doubles in size each day. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?[*] Many people get the answers to these questions wrong the first time they hear them, but what’s required to reach the correct solution isn’t intelligence or mathematical training, but pausing for a moment to double-check your gut reaction. Shane Frederick points out that noticing your initial
...more