1. The Bat and Ball Problem
A bat and a ball together cost $1.10. The bat costs $1 more than the ball. How much does the ball cost?
Did you guess 10 cents?
Answer: The ball costs 5 cents. A ball costs 5 cents, and with the bat it costs $1.05 it will turn out to be $1.10 in total. So, $1.05 is exactly $1 more expensive than 5 cents.
Here's your a-ha moment!
2. The Widget-Making Machine Problem
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machine to make 100 widgets?
Did you guess 100 minutes?
Answer: It would take 100 machines 5 minutes to make 100 widgets. If it takes 5 minutes for 1 machine to make 1 widget, then it would take 5 minutes for 100 machines to make 100 widgets.
Does it make more sense now?
3. The Size-Double Lily Pad Patch Problem
There is a patch of lily pads in a lake. Every day, the patch doubles in size. If it takes 48 hours for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?
Did you guess 24 days?
Answer: The lily pads would cover half the lake in 47 days. If the area of the lake covered in lily pads doubles every day, it would take one day for it to go from being half covered to fully covered. So take one day from 48 days, and you'll get the right answer.
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