Here Are the Questions
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?
2. The Widget-Making Machine Problem
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
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 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?
1. The ball costs 5 cents. You probably guessed 10 cents, didn't you? No judgment. A ball that costs 5 cents plus a bat that costs $1.05 will set you back $1.10. And $1.05 is exactly $1 more expensive than 5 cents. A Princeton studyfound that people who answered 10 cents were significantly less patient than those who got it correct.
2. It would take 100 machines 5 minutes to make 100 widgets. Your gut might tell you the answer is 100 minutes. From the question, we know that it takes 5 minutes for 1 machine to make 1 widget. Thus, it would take 5 minutes for 100 machines to make 100 widgets. (Check out a similar, if not more difficult problem, here.)
3. The lily pads would cover half the lake in 47 days. You might have guessed 24 days. It seems intuitive to halve the number of days because you're halving the size of the lilypad patch. But if the area of the lake covered in lilypads doubles every day, it would only take one day for it to go from being half covered to fully covered. Take one day away from 48 days and you're left with 47.
watch this clip easy to understand.
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